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Without knowing specifically, I feel like there has got to be a way to get
satisfactory results using a small number of equidistant projections.  Are
there a couple of ocean-centric equidistant projections that you could use,
splitting the routes into trans-Atlantic and Trans-Pacific routes, and
handling each with its own projection?  I am picturing a pin-cushion effect
on the parallels to account for great-circle distances approaching the
poles...

Maybe...

Jeff

On Tue, Nov 11, 2014 at 2:08 PM, Shaun Walbridge <[log in to unmask]>
wrote:

>  I’ve done some work on global modeling of ship movement, and can confirm
> this is a tricky problem. The ultimate solution that I ended up using was a
> weighted graph structure to connect adjacent ‘cells’ of the ocean. This has
> the advantage of not requiring arbitrary new calculations for any new pair
> of points, and can vary in resolution. The edges are then weighted by their
> geodesic distance, so that cost calculations are ‘true’ and not fixed to
> any single projection. Some details here <https://4326.us/thesis/>.
>
>  cheers,
> Shaun
>  --
>
> *Shaun Walbridge | GIS Engineer*
>
>   From: a brody <[log in to unmask]>
> Reply-To: a brody <[log in to unmask]>
> Date: Tuesday, November 11, 2014 at 10:59 AM
> To: "[log in to unmask]" <[log in to unmask]>
>
> Subject: Re: Finding Distance between points over water
>
>   FYI,
> Mercator projection is a very poor measure of distances.  Its advantages
> are that the latitude and longitude lines come at right angles, make it
> easy for people plotting their routes, and determining the distance
> travelled in latitude.  Longitude varies though based on latitude. The best
> distance measurement for shortest distance is great circle routes when you
> can get it, but the problem remains many of those routes run into the
> arctic regions and iceburgs.  So the best compromise may vary by season for
> the hemisphere travelled.
>
> It really depends on your end users needs.
>
>  Sincerely,
> Abraham Brody
> On Nov 11, 2014, at 12:14 PM, Don Cooke <[log in to unmask]> wrote:
>
>    A friend at GDT suggested a projection-free way to calculate distances
> between lat/long pairs:  calculate the spherical angle between the two
> points relative to the center of the earth, then convert the angle to a
> distance using an assumed radius of the earth.  I guess you need to assume
> a spherical earth….
>
>
>
> Interesting way to think about it.  We do tend to get the rope wound
> around the axle given our comfort with projections.
>
>
>
> ****** Don
>
> *From:* Northeast Arc Users Group [mailto:[log in to unmask]
> <[log in to unmask]>] *On Behalf Of *Andy Anderson
> *Sent:* Tuesday, November 11, 2014 8:29 AM
> *To:* [log in to unmask]
> *Subject:* Re: Finding Distance between points over water
>
>
>
> No single projection will work, you must use different ones over subglobal
> distances, which prevents a single calculation. But one approach would be
> to use the plate carrée projection (your attached example) to generate a
> rough route, then choose an appropriate projection over each leg, e.g.
> two-point equidistant, and then project to a new raster and redetermine the
> legs and then calculate the distance. Still won’t be the best possible
> distance because you’re fixing points, but it should be a better estimate.
>
>
>
> For the resolution you are using (~70 Km/pixel) I don’t think a land
> buffer is necessary.
>
>
>
> — Andy
>
>
>
> On Nov 11, 2014, at 10:56 AM, Milan Budhathoki <[log in to unmask]>
> wrote:
>
>
>
>  Hi Chris and Andy,
>
>
>
> Thank you for your suggestions. I was given just Lat/Long of ship's
> starting port and destination port in .CSV. Beside these I don't I have any
> additional information. Yes, prevailing winds and ocean currents will play
> a role in ships actual path but I think my collaborator is looking for the
> shortest distance just over water regardless of any other assumption that
> might affect on actual route. I haven't research at published route
> documents but this is worth trying. Projection is another issue since
> dataset has thousands of ports around the globe. I am thinking of  the
> "Merrcator Projection ?". I did a quick cost-path analysis for one of the
> ports pair. Due to lack of information to make a cost-raster ( I used just
> land and water mask as a cost raster) path tends to grip through land as
> below;
>
>
>
> <image84 Nov. 11.jpg>
> ​
>
>
>
>
>
>
> ​
>
> Here voyages tends to pass very closely to land (mostly touches land
> mask). I am thinking to buffer land mask outward with X miles so that ships
> path will be X miles way from land. Also I am considering to bring ocean
> depth as another cost-raster if data is publicly available. Eventually, I
> am write a python script or run model builder once I figure out better way.
>
>
>
>
> I would like to hear more if anyone has any thoughts !
>
>
>
> Thank you !
>
>
>
>
>
>
>
>
>
> On Mon, Nov 10, 2014 at 11:38 AM, Andy Anderson <[log in to unmask]>
> wrote:
>
> To remove the tedium, write a Python script.
>
>
>
> Remember, though, that distance calculations depend on the projection you
> use. If you want the cost-path from, say, New York to Sydney, there is no
> single projection that will give you an accurate measure.
>
>
>
> A better approach might be to determine the standard shipping lanes,
> calculate the distances (if you can’t find them in a table), and piece
> together routes.
>
>
>
> More generally, you could set up an iterative algorithm to calculate
> distances using spheroid-based angular calculations with restrictions based
> on open water (e.g. at 40° north latitude, longitude will be restricted to
> roughly –74° to –9° and 128° to 140° and 142° to -124°).
>
>
>
> — Andy
>
>
>
> On Nov 10, 2014, at 9:13 AM, Milan Budhathoki <[log in to unmask]>
> wrote:
>
>
>
>     Looks like email that I sent yesterday didn't go through.
>
> Here it is again:
>
>
>
>   Hello Listserv,
>
>
>
>   I have point dataset of ship trips from one port to another. I want to
> calculate the shortest distance between each port pair  *over water*.
> There are thousands of voyages, and 5,000 unique ports from all over the
> world. One of the approach I can use in ArcGIS  is to run the Cost-Path
> tool having water/land as a cost raster to make a path only on water. But I
> assume that the Cost-Path approach would be little tedious for a large
> dataset. I wonder if anyone in this forum has a suggestion to calculate a
> shortest distance between two points having restricted path.
>
>
>
>   I will highly appreciate your feedback.
>
>
>
>
>
>   --
>
>   Milan Budhathoki
>
>
>
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>
>
>
>
> --
>
> Milan Budhathoki
>
>
>
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