Ring width & age: was Re: whoops:Fw: [NatureNS] Tree hugger's quandary

From: David & Alison Webster <dwebster@glinx.com>
To: naturens@chebucto.ns.ca
References: <AB8ED080330746EC8B9B86CACA54B757@D58WQPH1>
Date: Sun, 27 Apr 2014 19:15:11 -0300
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Hi Paul,                                    Apr 27, 2014
    The relationships between tree ring width and age are quite diverse =
depending upon a host of circumstances that can be condensed, I think, =
to growing conditions, tree state and tree health.=20
    Too often these relationships are described without reference to the =
common thread that helps to tie them all together; this thread being the =
tendency for ring width to be proportional to photosynthate flux per =
unit circumference.=20
    DIGRESSION: Because trunk cross-sectional area is ideally pi(r^2) =
the rate of increase in area with increase in radius (i.e. ring width) =
will be proportional to 2pir i..e. pid. Accordingly, when the growth =
state of a tree is such that annual increase in trunk cross-sectional =
area is constant year after year then ring width must decrease =
throughout this period of constant growth rate.
END OF DIGRESSION
    After a tree leaves the sometimes protracted period of seedling =
establishment, when rings may be paper thin, and enters a period of =
sometimes exponential growth in leaf area, when ring width may be =
unusually large and then slowly decreases, it will typically enter a =
period of steady growth. If it is neither dominant nor supressed, but =
just managing to maintain a fairly constant effective leaf area, then as =
noted above the annual increment in cross-sectional area will be =
relatively constant which implies decrease in ring width over time. When =
a tree enters into decline the annual increment in area will decrease =
over time leading to an even more obvious decrease in ring width.=20
    When trees are dominant, the effective leaf area of the canopy may =
continue to increase for many decades after the initial period of rapid =
growth and this leads to an increase in annual in cross-sectional =
increment over time sometimes to the point that ring width remains =
relatively constant for many decades. Hemlock, Oak and Yellow Birch tend =
to become dominant  by somehow often keeping seedlings suppressed or =
absent in a large area centered on the trunk.
Yt, Dave Webster, Kentville

  ----- Original Message -----=20
  From: Paul MacDonald=20
  To: naturens@chebucto.ns.ca=20
  Sent: Saturday, April 26, 2014 1:32 PM
  Subject: Re: whoops:Fw: [NatureNS] Tree hugger's quandary - our =
biggest/oldest Yellow Birch


  Hi Dave
  As a further check I got a piece of Yellow birch from my woodpile. The =
out 20 mm of wood took 22 years to grow,
  not much more than half the estimated growth rate of the monster on =
McNutts - I have no idea where my sample grew.
  The width of the rings will be inversely proportional to the age. A =
young tree grows much bigger rings than an old tree for reasons too =
involved to discuss here. An old tree for sure.
  Paul

  On Saturday, April 26, 2014 12:43:45 PM, David & Alison Webster =
<dwebster@glinx.com> wrote:

  Hi Again,
      I notice that, for unintentional comic relief, I looked at 1500 =
and read=20
  1700 so my numbers must be shifted accordingly. So average ring width =
would=20
  be 1.78 mm and max age would be 475 years.
  DW
  ----- Original Message -----=20
  From: "David & Alison Webster" <dwebster@glinx.com>
  To: <naturens@chebucto.ns.ca>
  Sent: Saturday, April 26, 2014 11:46 AM
  Subject: Re: [NatureNS] Tree hugger's quandary - our biggest/oldest =
Yellow=20
  Birch


  > Hi All,                                Apr 26. 2-14
  >    If that tree is 17.5' in diameter then the head of that gentleman =
who=20
  > is sitting on our right is 2.5' wide; a Guiness record for sure. =
Liars can=20
  > figure but undoctored images don't lie. Assuming the number 17.5 was =

  > accurately transcribed from some vaild source then that tree could =
be=20
  > 17.5' in circumference; 5.57' in diameter (67") yielding a head =
"only" 10"=20
  > wide [or perhaps 7" if he is sitting well in front of the trunk].
  >
  >    Again, assuming 17.5' in diameter, the radius would be 2667 mm =
which=20
  > assuming 1700 years, would yield an average ring width of 1.6 mm; =
entirely=20
  > reasonable for  Yellow Birch.
  >
  >    Paul Bunyan with a magic increment borer could not extract a core =
2667=20
  > mm long. Consequently, if a core was taken at all, it was likely no =
more=20
  > than 10 cm long with an average ring width of `1.6 mm. And someone =
with a=20
  > first-hand unfamiliarity with the facts subsequently used a=20
  > state-of-the-art computer program to divide the incorrect diameter =
of=20
  > 17.5' ( i.e. 5334 mm) by 2*1.6 mm.
  >
  >    Therefore that tree is likely no more than 530 years old=20
  > [5.57*6*25.4/1.6]; old nonetheless.
  > Yt, Dave Webster, Kentville
  > ----- Original Message -----=20
  > From: "David Patriquin" <David.Patriquin@Dal.Ca>
  > To: <naturens@chebucto.ns.ca>
  > Sent: Saturday, April 26, 2014 9:54 AM
  > Subject: RE: [NatureNS] Tree hugger's quandary - our biggest/oldest =
Yellow=20
  > Birch
  >
  >
  >> Old Trees of Nova Scotia - we purportedly have a 1500 year old =
Yellow=20
  >> Birch
  >> http://www.outdoornovascotia.com/ancient.htm
  >> What do we know about it, e.g., was it actually aged by DNR?
  >> ________________________________________
  >> From: naturens-owner@chebucto.ns.ca <naturens-owner@chebucto.ns.ca> =
on=20
  >> behalf of Stephen Shaw <srshaw@Dal.Ca>
  >> Sent: Friday, April 25, 2014 8:07 PM
  >> To: naturens@chebucto.ns.ca
  >> Subject: RE: [NatureNS] Tree hugger's quandary
  >>
  >> An impressive old tree indeed.  At a conference in Cambridge UK =
~1996, a=20
  >> short cut accompanied by the local organizer took us past (I think =
it=20
  >> was) King's College where he pointed out a mature, tall horse =
chestnut=20
  >> tree in full leaf outside the building, in great shape.  Did I know =
that=20
  >> there's an actual university committee which oversees looking after =
that=20
  >> particular chestnut tree and only that one, he commented?  I hope =
they=20
  >> are still there (both the tree and the committee).
  >>
  >> Such extreme specialization may arise in part from England's being =
only=20
  >> 2.4x larger in area than Nova Scotia but having a population =
density of=20
  >> ~411 per square km versus Nova Scotia's ~17/squ km, in Cambridge U =
having=20
  >> a student/faculty ratio of only ~1/4 of that in most Canadian (and =
other)=20
  >> universities, and the fact that the English in particular cut down =
most=20
  >> of 'their' trees in the Middle Ages and before, so perhaps have had =
time=20
  >> to reflect on what little they have left.
  >> Steve (Hfx)
  >> ________________________________________
  >> From: naturens-owner@chebucto.ns.ca [naturens-owner@chebucto.ns.ca] =
on=20
  >> behalf of Dusan Soudek [soudekd@ns.sympatico.ca]
  >> Sent: Wednesday, April 23, 2014 9:44 AM
  >> To: naturens@chebucto.ns.ca
  >> Subject: Re: [NatureNS] Tree hugger's quandary
  >>
  >>  A gorgeous big tree! And an interesting book on the old trees of =
the=20
  >> U.K. They published a book about significant old trees in New =
Brunswick a=20
  >> number of years ago. (I do have a copy, somewhere. Probably lent =
out.) I=20
  >> don't believe there is one for Nova Scotia. Nimbus Publishing, are =
you=20
  >> listening?
  >>  Dusan Soudek
  >>
  >>
  >>> On April 22, 2014 at 7:41 PM David & Alison Webster =
<dwebster@glinx.com>=20
  >>> wrote:
  >>> Hi All, Apr 22, 2014
  >>> Not NS natural history but I like this tree--
  >>> =
http://www.telegraph.co.uk/gardening/plants/trees/8675208/Champion-trees-=
of-Britain-and-Ireland.html
  >>> Yt, DW, Kentville
  >>>
  >>
  >>
  >> -----
  >> No virus found in this message.
  >> Checked by AVG - www.avg.com
  >> Version: 2014.0.4570 / Virus Database: 3920/7389 - Release Date: =
04/24/14
  >>
  >=20




  No virus found in this message.
  Checked by AVG - www.avg.com
  Version: 2014.0.4570 / Virus Database: 3920/7389 - Release Date: =
04/24/14

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<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
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<DIV>Hi Paul,&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;=20
&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; =
&nbsp;&nbsp;&nbsp;=20
&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Apr 27, 2014</DIV>
<DIV>&nbsp;&nbsp;&nbsp; The relationships between tree ring width and =
age are=20
quite diverse depending upon a host of circumstances that can be =
condensed, I=20
think, to growing conditions, tree state&nbsp;and tree health. </DIV>
<DIV>&nbsp;&nbsp;&nbsp; Too often these relationships&nbsp;are described =
without=20
reference to the common thread that helps to&nbsp;tie&nbsp;them all =
together;=20
this thread being the tendency for ring width to be proportional to=20
photosynthate flux&nbsp;per unit circumference. </DIV>
<DIV>&nbsp;&nbsp;&nbsp; DIGRESSION: Because trunk cross-sectional area =
is=20
ideally pi(r^2) the rate of increase in area with increase in radius =
(i.e. ring=20
width) will be proportional to 2pir&nbsp;i..e. pid. Accordingly, when =
the growth=20
state of a tree is such that annual increase in trunk cross-sectional =
area is=20
constant&nbsp;year after year then&nbsp;ring width must decrease =
throughout this=20
period of constant growth rate.</DIV>
<DIV>END OF DIGRESSION</DIV>
<DIV>&nbsp;&nbsp;&nbsp; After a tree leaves the sometimes protracted =
period of=20
seedling establishment, when rings may be paper thin, and enters a =
period of=20
sometimes exponential growth in leaf area, when ring width may&nbsp;be=20
unusually&nbsp;large and then slowly decreases,&nbsp;it will typically =
enter a=20
period of steady growth. If it is neither dominant nor supressed, but =
just=20
managing to maintain a fairly constant effective leaf area, then as =
noted above=20
the annual increment in cross-sectional area will be relatively constant =
which=20
implies decrease in ring width over time. When a tree enters into =
decline the=20
annual increment in area will&nbsp;decrease over time&nbsp;leading to an =

even&nbsp;more obvious&nbsp;decrease in ring width. </DIV>
<DIV>&nbsp;&nbsp;&nbsp; When trees are dominant, the effective leaf area =
of the=20
canopy may continue to increase for many decades after the initial =
period of=20
rapid growth and this&nbsp;leads to an increase in annual in =
cross-sectional=20
increment over time sometimes to the point that ring width remains =
relatively=20
constant for many decades. Hemlock, Oak&nbsp;and Yellow Birch tend to =
become=20
dominant &nbsp;by&nbsp;somehow often keeping seedlings suppressed or =
absent in a=20
large area centered on the trunk.</DIV>
<DIV>Yt, Dave Webster, Kentville</DIV>
<DIV>&nbsp;</DIV>
<BLOCKQUOTE=20
style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; =
PADDING-RIGHT: 0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px"=20
dir=3Dltr>
  <DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
  <DIV=20
  style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: =
black"><B>From:</B>=20
  <A title=3Dpaulrita2001@yahoo.com =
href=3D"mailto:paulrita2001@yahoo.com">Paul=20
  MacDonald</A> </DIV>
  <DIV style=3D"FONT: 10pt arial"><B>To:</B> <A =
title=3Dnaturens@chebucto.ns.ca=20
  href=3D"mailto:naturens@chebucto.ns.ca">naturens@chebucto.ns.ca</A> =
</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Saturday, April 26, 2014 =
1:32=20
  PM</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Subject:</B> Re: whoops:Fw: =
[NatureNS] Tree=20
  hugger's quandary - our biggest/oldest Yellow Birch</DIV>
  <DIV><BR></DIV>
  <DIV=20
  style=3D"BACKGROUND-COLOR: #fff; FONT-FAMILY: verdana, helvetica, =
sans-serif; COLOR: #000; FONT-SIZE: 14pt">
  <DIV><SPAN>Hi Dave</SPAN></DIV>
  <DIV><SPAN>As a further check I got a piece of Yellow birch from my =
woodpile.=20
  The out 20 mm of wood took 22 years to grow,</SPAN></DIV>
  <DIV><SPAN>not much more than half the estimated growth rate of the =
monster on=20
  McNutts - I have no idea where my sample grew.</SPAN></DIV>
  <DIV><SPAN>The width of the rings will be inversely proportional to =
the age. A=20
  young tree grows much bigger rings than an old tree for reasons too =
involved=20
  to discuss here. An old tree for sure.</SPAN></DIV>
  <DIV><SPAN>Paul</SPAN></DIV>
  <DIV><SPAN></SPAN>&nbsp;</DIV>
  <DIV style=3D"DISPLAY: block" class=3Dyahoo_quoted>
  <DIV style=3D"FONT-FAMILY: verdana, helvetica, sans-serif; FONT-SIZE: =
14pt">
  <DIV=20
  style=3D"FONT-FAMILY: HelveticaNeue, Helvetica Neue, Helvetica, Arial, =
Lucida Grande, sans-serif; FONT-SIZE: 12pt">
  <DIV dir=3Dltr><FONT size=3D2 face=3DArial>On Saturday, April 26, 2014 =
12:43:45 PM,=20
  David &amp; Alison Webster &lt;dwebster@glinx.com&gt; =
wrote:<BR></FONT></DIV>
  <DIV class=3Dy_msg_container>Hi Again,<BR>&nbsp; &nbsp; I notice that, =
for=20
  unintentional comic relief, I looked at 1500 and read <BR>1700 so my =
numbers=20
  must be shifted accordingly. So average ring width would <BR>be 1.78 =
mm and=20
  max age would be 475 years.<BR>DW<BR>----- Original Message ----- =
<BR>From:=20
  "David &amp; Alison Webster" &lt;<A href=3D"mailto:dwebster@glinx.com" =

  =
ymailto=3D"mailto:dwebster@glinx.com">dwebster@glinx.com</A>&gt;<BR>To: =
&lt;<A=20
  href=3D"mailto:naturens@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens@chebucto.ns.ca">naturens@chebucto.ns.ca</A>&gt=
;<BR>Sent:=20
  Saturday, April 26, 2014 11:46 AM<BR>Subject: Re: [NatureNS] Tree =
hugger's=20
  quandary - our biggest/oldest Yellow <BR>Birch<BR><BR><BR>&gt; Hi =
All,&nbsp;=20
  &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =
&nbsp;=20
  &nbsp; &nbsp; &nbsp; &nbsp; Apr 26. 2-14<BR>&gt;&nbsp; &nbsp; If that =
tree is=20
  17.5' in diameter then the head of that gentleman who <BR>&gt; is =
sitting on=20
  our right is 2.5' wide; a Guiness record for sure. Liars can <BR>&gt; =
figure=20
  but undoctored images don't lie. Assuming the number 17.5 was <BR>&gt; =

  accurately transcribed from some vaild source then that tree could be =
<BR>&gt;=20
  17.5' in circumference; 5.57' in diameter (67") yielding a head "only" =
10"=20
  <BR>&gt; wide [or perhaps 7" if he is sitting well in front of the=20
  trunk].<BR>&gt;<BR>&gt;&nbsp; &nbsp; Again, assuming 17.5' in =
diameter, the=20
  radius would be 2667 mm which <BR>&gt; assuming 1700 years, would =
yield an=20
  average ring width of 1.6 mm; entirely <BR>&gt; reasonable for&nbsp; =
Yellow=20
  Birch.<BR>&gt;<BR>&gt;&nbsp; &nbsp; Paul Bunyan with a magic increment =
borer=20
  could not extract a core 2667 <BR>&gt; mm long. Consequently, if a =
core was=20
  taken at all, it was likely no more <BR>&gt; than 10 cm long with an =
average=20
  ring width of `1.6 mm. And someone with a <BR>&gt; first-hand =
unfamiliarity=20
  with the facts subsequently used a <BR>&gt; state-of-the-art computer =
program=20
  to divide the incorrect diameter of <BR>&gt; 17.5' ( i.e. 5334 mm) by =
2*1.6=20
  mm.<BR>&gt;<BR>&gt;&nbsp; &nbsp; Therefore that tree is likely no more =
than=20
  530 years old <BR>&gt; [5.57*6*25.4/1.6]; old nonetheless.<BR>&gt; Yt, =
Dave=20
  Webster, Kentville<BR>&gt; ----- Original Message ----- <BR>&gt; From: =
"David=20
  Patriquin" &lt;<A href=3D"mailto:David.Patriquin@Dal.Ca"=20
  =
ymailto=3D"mailto:David.Patriquin@Dal.Ca">David.Patriquin@Dal.Ca</A>&gt;<=
BR>&gt;=20
  To: &lt;<A href=3D"mailto:naturens@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens@chebucto.ns.ca">naturens@chebucto.ns.ca</A>&gt=
;<BR>&gt;=20
  Sent: Saturday, April 26, 2014 9:54 AM<BR>&gt; Subject: RE: [NatureNS] =
Tree=20
  hugger's quandary - our biggest/oldest Yellow <BR>&gt;=20
  Birch<BR>&gt;<BR>&gt;<BR>&gt;&gt; Old Trees of Nova Scotia - we =
purportedly=20
  have a 1500 year old Yellow <BR>&gt;&gt; Birch<BR>&gt;&gt; <A=20
  href=3D"http://www.outdoornovascotia.com/ancient.htm"=20
  =
target=3D_blank>http://www.outdoornovascotia.com/ancient.htm</A><BR>&gt;&=
gt;=20
  What do we know about it, e.g., was it actually aged by =
DNR?<BR>&gt;&gt;=20
  ________________________________________<BR>&gt;&gt; From: <A=20
  href=3D"mailto:naturens-owner@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens-owner@chebucto.ns.ca">naturens-owner@chebucto.=
ns.ca</A>=20
  &lt;<A href=3D"mailto:naturens-owner@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens-owner@chebucto.ns.ca">naturens-owner@chebucto.=
ns.ca</A>&gt;=20
  on <BR>&gt;&gt; behalf of Stephen Shaw &lt;<A =
href=3D"mailto:srshaw@Dal.Ca"=20
  ymailto=3D"mailto:srshaw@Dal.Ca">srshaw@Dal.Ca</A>&gt;<BR>&gt;&gt; =
Sent: Friday,=20
  April 25, 2014 8:07 PM<BR>&gt;&gt; To: <A=20
  href=3D"mailto:naturens@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens@chebucto.ns.ca">naturens@chebucto.ns.ca</A><BR=
>&gt;&gt;=20
  Subject: RE: [NatureNS] Tree hugger's quandary<BR>&gt;&gt;<BR>&gt;&gt; =
An=20
  impressive old tree indeed.&nbsp; At a conference in Cambridge UK =
~1996, a=20
  <BR>&gt;&gt; short cut accompanied by the local organizer took us past =
(I=20
  think it <BR>&gt;&gt; was) King's College where he pointed out a =
mature, tall=20
  horse chestnut <BR>&gt;&gt; tree in full leaf outside the building, in =
great=20
  shape.&nbsp; Did I know that <BR>&gt;&gt; there's an actual university =

  committee which oversees looking after that <BR>&gt;&gt; particular =
chestnut=20
  tree and only that one, he commented?&nbsp; I hope they <BR>&gt;&gt; =
are still=20
  there (both the tree and the committee).<BR>&gt;&gt;<BR>&gt;&gt; Such =
extreme=20
  specialization may arise in part from England's being only =
<BR>&gt;&gt; 2.4x=20
  larger in area than Nova Scotia but having a population density of=20
  <BR>&gt;&gt; ~411 per square km versus Nova Scotia's ~17/squ km, in =
Cambridge=20
  U having <BR>&gt;&gt; a student/faculty ratio of only ~1/4 of that in =
most=20
  Canadian (and other) <BR>&gt;&gt; universities, and the fact that the =
English=20
  in particular cut down most <BR>&gt;&gt; of 'their' trees in the =
Middle Ages=20
  and before, so perhaps have had time <BR>&gt;&gt; to reflect on what =
little=20
  they have left.<BR>&gt;&gt; Steve (Hfx)<BR>&gt;&gt;=20
  ________________________________________<BR>&gt;&gt; From: <A=20
  href=3D"mailto:naturens-owner@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens-owner@chebucto.ns.ca">naturens-owner@chebucto.=
ns.ca</A>=20
  [<A href=3D"mailto:naturens-owner@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens-owner@chebucto.ns.ca">naturens-owner@chebucto.=
ns.ca</A>]=20
  on <BR>&gt;&gt; behalf of Dusan Soudek [<A=20
  href=3D"mailto:soudekd@ns.sympatico.ca"=20
  =
ymailto=3D"mailto:soudekd@ns.sympatico.ca">soudekd@ns.sympatico.ca</A>]<B=
R>&gt;&gt;=20
  Sent: Wednesday, April 23, 2014 9:44 AM<BR>&gt;&gt; To: <A=20
  href=3D"mailto:naturens@chebucto.ns.ca"=20
  =
ymailto=3D"mailto:naturens@chebucto.ns.ca">naturens@chebucto.ns.ca</A><BR=
>&gt;&gt;=20
  Subject: Re: [NatureNS] Tree hugger's =
quandary<BR>&gt;&gt;<BR>&gt;&gt;&nbsp; A=20
  gorgeous big tree! And an interesting book on the old trees of the=20
  <BR>&gt;&gt; U.K. They published a book about significant old trees in =
New=20
  Brunswick a <BR>&gt;&gt; number of years ago. (I do have a copy, =
somewhere.=20
  Probably lent out.) I <BR>&gt;&gt; don't believe there is one for Nova =
Scotia.=20
  Nimbus Publishing, are you <BR>&gt;&gt; listening?<BR>&gt;&gt;&nbsp; =
Dusan=20
  Soudek<BR>&gt;&gt;<BR>&gt;&gt;<BR>&gt;&gt;&gt; On April 22, 2014 at =
7:41 PM=20
  David &amp; Alison Webster &lt;<A href=3D"mailto:dwebster@glinx.com"=20
  ymailto=3D"mailto:dwebster@glinx.com">dwebster@glinx.com</A>&gt;=20
  <BR>&gt;&gt;&gt; wrote:<BR>&gt;&gt;&gt; Hi All, Apr 22, =
2014<BR>&gt;&gt;&gt;=20
  Not NS natural history but I like this tree--<BR>&gt;&gt;&gt; <A=20
  =
href=3D"http://www.telegraph.co.uk/gardening/plants/trees/8675208/Champio=
n-trees-of-Britain-and-Ireland.html"=20
  =
target=3D_blank>http://www.telegraph.co.uk/gardening/plants/trees/8675208=
/Champion-trees-of-Britain-and-Ireland.html</A><BR>&gt;&gt;&gt;=20
  Yt, DW, Kentville<BR>&gt;&gt;&gt;<BR>&gt;&gt;<BR>&gt;&gt;<BR>&gt;&gt;=20
  -----<BR>&gt;&gt; No virus found in this message.<BR>&gt;&gt; Checked =
by AVG -=20
  www.avg.com<BR>&gt;&gt; Version: 2014.0.4570 / Virus Database: =
3920/7389 -=20
  Release Date: 04/24/14<BR>&gt;&gt;<BR>&gt;=20
  <BR><BR><BR><BR></DIV></DIV></DIV></DIV></DIV><A></A>
  <P align=3Dleft color=3D"#000000" avgcert??>No virus found in this=20
  message.<BR>Checked by AVG - <A=20
  href=3D"http://www.avg.com">www.avg.com</A><BR>Version: 2014.0.4570 / =
Virus=20
  Database: 3920/7389 - Release Date: =
04/24/14</P></BLOCKQUOTE></BODY></HTML>

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