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Simulating Larval Dispersal in the Santa Barbara Channel
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Three big questions Where do the larvae come from… … where do they go … and how do they do this
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The answers are… Source Patch Destination Patch Particle Advection
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First things first Velocities….
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Thanks Leo…
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From Leo I have Velocities every 5 km, every day, from 1992 to the end of 1999. This is great as I can look at seasonal, inter-annual variability.
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The Domain
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The second thing I need to do is define my source/destination patches This is surprisingly complicated!! I am not going to base my patches on Kelp, Fish, Sand, Surfers or anything biotic My patches are ABIOTIC, they are simply areas of the coast
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1 23 2435 3647 48 49 … and here they are, numbered
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What do I do with this… I seed my particles uniformly over the entire patch area And then I advect with Leo’s velocities
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Advection is simply… Xt+1 = Xt + (Ut * dt) Yt+1 = Yt + (Vt * dt)
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Numbers in small print I am working with seeding ~2000 particles every day for 153 days (this is the length of the spawning period of Kelp Bass) ~ 300,000 particles total (takes 30 mins on my mac). I use velocities from May to Sept (the spawning period of Kelp Bass). I linearly interpolate to a 1hr time step. Kelp bass has a PLD of 36 days, this is how long I advect the particles for.
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Dispersal Movie See link
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COUNTING
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Put complicatedly Kelp bass settles within 26 to 36 days of its spawning. So.. I count what patch particles are in within this time window, I also remember which patch they originated from. I can then make source and sink priorities…
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1 23 2435 36 47 48 49 Remember the patches
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From the White patch, the priority of its sink patches i.e. where particles, that came from it, settled.
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From the White patch, the priority of its source patches i.e. where particles that settled in it came from
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This patch
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Alright, If I put together all this information together I can show you a connectivity matrix. Just remember, particles go from the x-axis to the y-axis.
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South Side North Side Mainland North Side South Side Normalized by the area of source and dest patch
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South Side North Side Mainland North Side South Side Pure Count
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So we can see some patterns in particle settlement. Remember that this isn’t larvae, this is simply where water is in a given time period. Larvae comes later
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1997 El Nino 1995 Normal Just out of interest Look at the differences Between 1997 and 1995, Watch this space…
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1997 El Nino 1995 Normal
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Problems Land is sticky Counting Next steps… Demography? »Validation »Different years »How much physics do we need (how important is flow / how important is habitat)
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Bouncing Movie
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THANK’S FOR YOUR TIME.
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