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Defend Hudson Bay !

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A fun part of being a grad student, is making bonds beyond the regular "have-to-share-the-same-open-area-office" friendship. The challenges to overcome are so tough, the emotions shared are so strong than you can never break those bonds. So last week was emotional for me, as I assisted to the Ph.D. thesis defence of my last two buddies from my grad school modeling lab.

Both worked on the Hudson Bay system, a very exciting environment to work on. It's the southernmost Arctic sea, a transition zone between the Arctic Ocean and the Atlantic Ocean at the forefront of the impacts of the current global warming.



Pierre St-Laurent defended brilliantly the 17th of May his thesis entitled "Variabilité saisonnière et interannuelle des eaux douces dans les mers Arctiques : Le cas de la baie d'Hudson".


Pierre showed the audience how the fresh-water budget is regulated in the Hudson Bay. He tackled both liquid and solid (seasonal sea-ice) aspects of it. As an example of how great a tool is modeling in a well formed scientific mind, he first studied this issue with a realistic high resolution sea-ice / ocean 3-D circulation model of the Hudson Bay, developed in the numerical modeling lab of ISMER in Rimouski.

summer_tracer_river.pngHe then constructed an idealized system to sort out the relative importance of the various hydrological, atmospheric and oceanic forcing.


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This allowed him to demonstrate for the first time the role of changing wind regimes in the periodic retention/expulsion of fresh water from the Hudson Bay towards the North-West Atlantic.


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Pierre will soon lend his brain as a post-doc to the Old Dominion University in Norfolk, VA

(He's too modest to agree for me to tell you that there is a tenure track position attached at the end of his 3 years as post-doc).



Virginie Sibert defended not less brilliantly the 20th of May her thesis entitled "Modélisation de la variabilité saisonnière et de la sensibilité au climat des productions glacielle et pélagique de la baie d'Hudson".


Virginie managed to build a model of primary and secondary production within the sea-ice in Hudson Bay.


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She coupled this to the ice compartment of the same high-resolution 3-D circulation model than Pierre. After characterizing the spatio-temporal patterns of this system, she coupled it further with an NPZD pelagic production model to have a complete picture of the primary production in the system.

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After a rigorous validation process which guaranteed a good confidence in the model results, she finally tested one of the IPCC scenario of climate change (A2) for the Hudson Bay system.


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A nice outcome of her work is that the Hudson Bay system would not, for its most part, pass a tipping point yet. Primary production of both ice algea and phytoplankton would increase, even if their respective blooms would occur sooner in the season.


Virginie has already brought her talent and charm as a post-doc in the IFREMER lab of Brest, France.

The Eco-cast

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This post is a follow-up to my ecological forecasting post last month.  The work that I presented at the Ocean Sciences meeting was built around the idea of producing forecasts of ecosystems.  Much of what I presented was discussed in that post, so I'd just like to take a little space here to build on the vision.

I think about ecosystem forecasts as close analogues to weather forecasts.  There are, of course, important differences, but I'll save that discussion for a later post.  Here I'll focus on the analogy.

Early weather predictions were based on signs and signals from the immediate surroundings, and on past observations.  These observations were interwoven with ecological ones as well.  People have probably been making these sorts of predictions since the first homo sapiens scratched their heads and gazed upon a bold red sunset.  Unfortunately, these first people left nothing to cite, so we'll have to do what we usually do, and refer to Aristotle on the matter.

Aristotle included many guidelines for weather prediction in Meteorologica, but actually my favorite work on the matter is Theophrastus' The Book of Signs.  For centuries, predictions were made by following signs like this one, taken from The Book of Signs:

Thumbnail image for 161Theophrastus_161_frontespizio.jpg"It is a sign of rain when a tame duck gets under the eaves and flaps its wings."

In the 20th century, scientists began using computers to make forecasts.  In the 1950s, the first computational forecasts were inferior to the more subjective, duck-watching methods.  Computer models would suddenly predict an army of cyclones marching across the country.  You would probably produce a better forecast by just saying, "Tomorrow's weather will be pretty much like today's."

Yet there was intense optimism regarding the potential of computational prediction.  John von Neumann, one of the great scientists of the century, stated:  

JohnvonNeumann-LosAlamos.gif"All stable processes we shall predict.  All unstable processes we shall control."

This was followed by decades of steady improvement.  Computational weather forecasts are now the norm.  While we do complain when meteorologists get it wrong, I think it's clear that today's forecasts have immense value and are a crucial part of how our society operates.

Von Neumann's vision, however, has not been realized.  One contributing factor was the discovery of what is termed "chaos".  Without going into too much detail, I'll just say that mathematicians discovered fundamental limits on the predictability of certain mathematical systems, including weather and ecosystems.  As the founder, Edward Lorenz, phrased it:

"Predictability: Does the flap of a butterfly's wings in Brazil set off a tornado in Texas?"

Nevertheless, with better and better computers and techniques, scientists continue to improve weather prediction.  A testament to their utility is the ubiquity of weather forecasts in our day to day lives.  This history provides good context for the development of ecosystem forecasting.  With steadily improving models and increasing monitoring, we are poised to transition from the more subjective and sign-based forecasts to more precise computational forecasts.  Naturally, it will be some time before we're forecasting at the level of meteorologists, but one day in the future, you might be watching a broadcaster like this on your daily news:

NewsCast2.jpg


Ecological forecasting system -- the concept

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Early numerical/computational weather forecasts could not compete with traditional forecasting methods.  Simple lore-based indicators--like "red sky at night, sailors delight"--could, in many cases, out-perform computational models.  In fact, simply predicting that tomorrow's weather will be just like today's was much more reliable than the cyclone-ridden numerical predictions put forth by scientists.

Over the past 50 years, computational power, theory, and data collection have improved, leading to a revolution in weather forecasting.  What began as an inferior  practice quickly overtook other methods.  Computational predictions have now replaced traditional subjective predictions, and detailed weather forecasts are integral parts of our everyday lives.  The figure below (adapted from Shuman 1989) shows how computational weather forecasting models have progressed since the 1950s.

Shuman1989edit.jpg
Figure adapted from Shuman 1989.  Error in numerical weather forecasts has decreased substantially since the 1950s due to improvements in the models and the computers.

In contrast to weather forecasts, there are very few ecosystem forecasts available.  Those that are available are at the cutting edge of science, and are often released only after the passage of the events they are trying to predict.  Yet I would argue that we could be on the cusp of a similar revolution in ecological forecasting.

Many lessons from the past 50 years of weather prediction can be carried over to the development of systems designed for ecological forecasting.  There are three key components to a good forecasting system, all of which we can begin to implement and/or take advantage of right away.  These are: monitoring (steady streams of data), adaptive computational algorithms, and forecast availability.  The common service provided by all of these components, and the crux, I would argue, to a revolution in ecosystem forecasting, is feedback.

I've sketched out below a concept map of an ecological forecasting system, highlighting the mechanisms of feedback.  Briefly, data is input to the algorithm, which produces a forecast.  This forecast then becomes available to a number of feedback avenues, including the designer, users, and the algorithm itself.  (Side note: I used the "Concept Map Builder" designed by the Center for Ocean Sciences Education Excellence, which is a tool under development, worth checking out.)
ForecastingConceptMap.jpg
Monitoring is, of course, a critical component as it provides input data.  In this system, however, data plays another role.  Suppose we are producing weekly forecasts.  Then each week, we want to know how well we did with our forecast.  At first, our forecasts might be little better than a random guess.  That's okay.  As long as we have the data coming in to tell us how well we're doing.  When we're not doing well, we want to know so that we can adjust.

That brings us to the second component: adaptive computational algorithms.  Using techniques borrowed from computer sciences, such as the genetic algorithm, a system can learn based on its past successes and failures.  It's important for the system to be able to assimilate a steady stream of data and to adapt based on that.  Ideally, a system should be flexible enough to incorporate new theoretical information as well.

The third component, forecast availability, is one that has been missing.  In my opinion, this has been holding back progress in ecosystem forecasting.  I suggest that, like numerical weather forecasters, we should be putting our forecasts out there, even while they are little better than subjective forecasts.  It's okay if many forecasts fail.  With an ensemble of forecasts available, and with a steady stream of observations coming in, our computational systems can begin to evaluate, learn, and adapt.  Over time, the failures will presumably be fewer and fewer, and the forecasts will be more and more useful.

There are a number of subtleties that I've brushed over here, for the sake of simplicity and generality, as well as some practical considerations that are nontrivial.  Nevertheless, these are the basic ingredients, as I see it, to a revolution in ecosystem forecasting.  I'll be presenting these ideas at the Ocean Sciences meeting in Portland, Oregon next week.  If this sort of thing is your bag, look me up.


Kill time or be killed

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Andy's concerns about discriminating wisely between trend and noise, between low-frequency and high-frequency signals in time series of environmental variables (Air temperature in his example), apply as well to measurable quantities in ecosystems. Particularly relevant is the phenology of the species, which defines the timing of crucial recurrent events of their life cycle, like the date of first arrival to the nesting ground, the date of germination, the date of mating, the date of blooming etc. You may have noticed that I used examples related to birds and plants. Well, while phenology is a general concept, an empirical knowledge patiently accumulated by bird lovers and Sunday gardeners of the 19th and 20th centuries was first to be translated into systematic scientific surveys. And following rigorous statistical analyses of those long time series of observations, it has been firmly established that changes in the phenology of most species accompanied trends in temperature. The strength of the correlation is all the more important as the seasonality (latitude) of the ecosystem and the dependance of the species to their environment increase. The connection with climate change issues is straightforward. And it is not just about how one species or another will cope with changes of its environment, but rather about the interlocked interactions between all those species.
If you can easily think at a beautiful tulip as a species embedded in its environment, it is the same, in a more dynamic way, for planktonic marine species. Now oceanographers begin to benefit of the fruits of several long lasting monitoring programs. Unfortunately, the ever increasing pace of global climate change means that oceanographers are required to draw firm conclusions about the impact of environmental variability on ecosystems and develop predictive capabilities in the meantime ! And this will remain an elusive target as long as the mechanisms gearing those changes are not understood properly. Daunting task, as the changes in timing of such major event as diapause entrance and exit emerge form several layers of physiological and behavioral processes obeying their own dynamics while interacting with each others. But impossible is not known at the EML, so we decided to model the mechanisms behind the diapause of the dominant copepod Calanus finmarchicus. We already know that even if it can produce several generation a year, this critically important species thrives in its seasonal environment (Northern half of the North Atlantic) thanks to its diapause strategy, which means killing time at depth in order not to be killed by the detrimental conditions prevailing at the surface in winter. For this purpose, it makes a feast on large phytoplankton cells (mainly diatoms) during the short period they are available, and build up impressive amount of energy rich lipid reserves. Those swimming droplets of lipid are in turn the basis for the rest of the upper trophic levels.
And what about changes then ? Things are more sparse there... Records of physiological properties related to the diapausing strategy are about a decade old now. Not enough really to study trends on climatological scales, but enough to understand that interannual variability is high (see figure). But abundance data are enough to see changes, especially in areas localized at its biogeographical fringe. In the North Sea for example, the ecosystem shifted from a copepod population dominated by 80% of C. finmarchicus before the 60's to a present state dominated by 80% of its southern congener C. helgolandicus. What is the role of diapause in that ? Not known yet. One thing is certain though: changes occur at an ever accelerating pace, and the unforeseen consequences for the ecosystems are likely to appear before our eyes while we are still racing to improve our understanding. I strongly wish that Copenhagen "talks" will end up with agreements as legally constraining on our leaders than the climate changes will be actually constraining on us.
WB7_Cfinmarchicus_diapause_JPierson.jpg Superimposed to the climatological (2004-2008) relative abundance of the different copepodid stages are box plots of the estimated dates of initiation (late winter) and termination (summer) of diapause in Calanus finmarchicus in the Gulf of Maine. Data from UNH COOC WB-7 station. Figure from James J. Pierson.
Weather forecasters enjoy (or lament) the gratification of finding out how good their forecasts are just a few days after making them.  Ecosystem forecasters, on the other hand, often have to wait a long time before we know.  One of our forecasts is for the arrival date of right whales in the Great South Channel critical habitat.  Each year we try to predict when the whales will arrive in large numbers to feed there.  Then we wait, sometimes for years, for the data to come in, so that we can see which predictions are correct, and which need to be re-examined, and why.

We now have the right whale sightings data from 2007 and 2008, so the moment of truth is at hand.  I haven't dug into the analysis yet, but here is the first cut.  Our 2007 prediction was very close, falling just a few days from the actual arrival date, and falling well within the predicted window (see figure).  Our 2008 prediction was later than the arrival date.  This appears to be driven by a period in mid March when there were lots of whales, followed by a lull.  Use of the habitat picked up again in mid April, and persisted from there.  Our model appeared to pick up on this later arrival, missing the brief but intense party in mid March.  It'll be interesting to dig into this further when we start our analysis, and see if we can shed light on what was happening in mid March.

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Figure  Right whale sightings per unit effor in the Great South Channel for 1998-2008.  Black line indicates the arrival date computed from the data (day at which sightings per unit effort crosses 0.01).  Horizontal boxes indicate the arrival date forecast for each year.  Figure is preliminary.

Right whale forecasts

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These results are Dan's, but he's indisposed and the results are too cool not to blog.  Dan fit a MaxEnt model for right whales in Cape Cod Bay based on hindcasts of Calanus and Pseudocalanus for 2003-2006 as well as SST, chlorophyll, and bathymetry.  He then applied the habitat model to the 2009 copepod estimates and satellite data to predict right whale habitat.  I extracted whale sightings from the PCCS reports and plotted over his images.  By and large, the PCCS sightings fall within areas of high habitat suitability (5/18/09 Note: figures with sightings have been removed).  The correspondence will probably (hopefully?) improve if we produce habitat maps for the specific survey time, rather than the nearest 8 day image.  Now, here's are forecasts for 5/9 and 5/17:
whalemaps8d_17.jpg
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Note that the habitat area is predicted to shrink, and we expect that the whales should be moving to deeper, Calanus-dominated habitats like the Great South Channel

Forecast update

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Our copepod forecasts are now appearing in habitat assessment reports produced by the Provincetown Center for Coastal Studies.  The PCCS runs cruises approximately weekly to characterize the prey resource for right whales in Cape Cod Bay.  Our forecasts include their samples from the previous week, coupling them with physical data to project into the upcoming week.

Here are a couple of our forecasts, with comparison to the actual data collected around the same time.

This plot shows a forecast for April 11th, for total copepodid zooplankton in the bay.
SEASCAPEapr11.png

This plot shows the distribution based on data collected on April 10th.
PCCSapr10.png
The higher concentration in the southern part of the bay matches fairly well, though our prediction put this patch further south than where it was observed.  Our forecast also predicted two strong patches near the tip of the cape, which didn't appear in the samples.  Note that the color bars are not quite the same in the two images.

This plot shows our forecast for April 15, for all copepodid zooplankton.
SEASCAPEapr15.jpg
Below is the distribution from the survey on April 14.
PCCSapr14.jpg
The spatial pattern of abundance matched well, with a low concentration in the northern part of Cape Cod Bay, and a higher concentration to the south.  As in the plots above, note that the color bars are not quite the same in the two images.

In both the forecasts and the sampled data, regions of zooplankton abundance were dominated by Calanus finmarchicus at this time of year, marking a shift from earlier in the year, when C.fin. was low, and Pseudocalanus spp. and Centropages spp. were higher.

Forecast 4/6/09

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I created a new hindcast/forecast run. The key inputs are the satellite data (SST & chlorophyll), flow fields, and the PCCS zooplankton data.  The availability of the data changes throughout the  period. Here's what I used:
  • 1/1/2009-3/22/2009--FVCOM 2009 flow fields (high res), assimilating PCCS data
  • 3/22/2009-4/6/2009--climatological FVCOM fields (lower res), no assimilation
  • 4/6/2009-4/15/2009--climatological FVCOM fields, climatological satellite data
I mapped the adult abundances for Calanus, Pseudocalanus, and Centropages for the 10d assimilation windows and uploaded the images to Picassa.  You should be able to click through the figures.  Each figure contains three panels.  The two on the left are the initial conditions for the 10d period.  The leftmost is the initial guess (usually, the output from the previous 10d window).  The second, labeled "post" (for posterior) is the initial condition estimated by the EnKS algorithm.  The panel on the right is at the end of the 10d period.  OK, here are the images:

Calanus:

Pseudocalanus:

Centropages:


Some comments on the figures:
  • If the two initial conditions look the same, there was likely no PCCS cruise in that period
  • If the two initial conditions are similar, then the PCCS data and model agree well in that period
  • If the two initial conditions are wildly different, then the model required significant adjustment to reproduce the data.
We plan to try a few things to try to minimize the "case 3" situations.  In particular, using better parameters from Nick's genetic algorithm work, using BCs from our Gulf of Maine model (esp. for Calanus), and trying different analysis intervals.

2010 Right Whale Prospectus

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 While our crack economic team predicts a recovery in the "future", 2010 looks like a bleak year for stocks.  One stock that stands out is the North Atlantic right whale.  After taking a beating for the last 300 years, this year's  39 calves suggests that this stock may be poised for a slow recovery.  However, Seascape Investments is cautioning our short-term investors from jumping into right whales at this time. While stock prices do have some autocorrelation (explaining why past performance seems like a good indicator), the number of right whale births has a strong tendency for boom and bust cycles. While right whales may become a conservative long-term investment (that is, slow growing), the cyclic nature of this stock suggests taking the long view, especially in the highly speculative calving market.  Here's our reasoning:


The number of right whale births depends on the number of reproductively active females, better known as cows, in the population.  However, right whales require two, or more likely three or more, years between births.  This means that we need to remove the 39 mothers from this year from the available pool of females.  We should also remove most of the mothers from last year, which I believe was pretty good, say 25.  The wild card in this guess is how many new females will be added to the pool.  Since it takes at least 5 years for a female to become sexually mature (average is 11, see Ch. 6 in the Urban Whale), the high birth years from the early part of this decade are only now starting to enter the population.  Let's say that we've added 20 new females since 2005, then we have 112 total cows.  Subtracting this year's births and my guesstimate of last year's gives us 48 available females.  This provides an upper limit on the number of births for next year.  How many will actually give birth will depend on a lot of factors, with my favorite being food.  If Calanus is abundant this year, then our earlier modeling work suggests that as many as 63% could calve, producing 30 new whales.  Realistically, I think 50% is a better guess, giving 24 calves.  While Seascape Labs would never condone the practice, opportunities for short selling in 2010 could be lucrative.

Our lab et al. published a series of papers in the latest issue of Marine Ecology Progress Series in which we explored linkages between copepod abundance and the migration patters of right whales.  Better knowledge of where and when right whales might show up can help prevent ship strikes and gear entanglements.  The full articles can be found here: 1 2 3.

One of our results was a strong correlation between the computed abundance of Calanus finmarchicus and the arrival date of right whales in the Great South Channel critical habitat.  Researchers have known for awhile that right whales use this habitat every year, but the factors that influence the timing of that usage are harder to pin down.  (Details on our computations, like how we calculate arrival date and C.fin. abundance, can be found in the papers.)

This correlation may have use as a forecasting tool.  The correlation spans the years 1998-2006.  By computing the C.fin. abundance for ensuing years, we can use a linear fit to produce a forecast for the arrival date in the Great South Channel (see figure).  Our prediction this year is for an early arrival date--right around now, in fact.  We also predicted an early arrival for 2007, and a late arrival for 2008.


ArrivalDate20090317.gif
Figure.  Top: correlation between computed C.fin. abundance and right
whale arrival day in the Great South Channel (R^2=0.7, p=0.01).  Red dots
show predicted values for 2009, with the most current prediction indicated
by text.  Bottom: our predictions for the 2009 arrival date.  As the year
progresses, we assimilate more data, and our prediction changes (see point
2 below).  The abrupt drop in late February is due to a modification in our
calculation (see point 4 below).



Caveats

There are a few caveats to this forecast.  I'll outline them here.

1) A linear regression is a simplification of the dynamics at play, and there is variability about the line.  Therefore, even though we give a specific arrival date, our forecasts should be taken as approximate.  It's better to think of them as "early", "average", or "late", rather than as occurring on a specific date.

2) Our models rely on satellite data, which is updated as the year progresses.  Therefore, our forecast changes as the year marches on (bottom plot in figure). It's similar to how the weather forecast gets better as next week gets closer.  This limits us somewhat, but our previous work has shown that satellite data from January and February generally provide enough data to get a significant correlation.

3) We check our forecasts against a whale arrival date that is calculated from survey data.  That is, real people looking for whales from boats and planes.  It takes a long time for that information to be processed and passed to us, so we haven't yet been able to check our 2007 and 2008 forecasts.  So, unlike the weather forecaster, we don't have the advantage of knowing what "today's weather" is.  Even though our 2009 forecasts tell us that right whales are arriving in the Great South Channel right around now, or possibly have arrived already, we may not be able to check that for awhile.

4) The nature of satellite data changes with technology.  For example, resolution has improved.  We've developed a new interpolation method that helps the satellite data to be consistent over many years.  The down side is that we had to re-run our experiment with all of the satellite data in this new format.  The good news is that the correlations persisted, though altered a little.

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