From owner-population-bio@net.bio.net Tue Jan 05 22:00:00 1993
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From: johnreed@carson.u.washington.edu (John Reed)
Newsgroups: sci.bio,bionet.plants,bionet.population-bio
Subject: Plant riparian population genetics
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Date: 6 Jan 93 18:21:04 GMT
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Newsgroups: sci.bio,bionet.plants,bionet.population-bio
Subject: Plant riparian population genetics
Summary: 
Followup-To: 
Distribution: 
Organization: University of Washington, Seattle
Keywords: 

Hi,
	I am doing research on the population genetics of black cottonwood
(Populus trichocarpa) in some river valleys in the Cascade Mountains.  I
have searched for references on population genetics of plants (trees are
preferable) in a linear spatial system (a river or stream), but have had
virtually no luck in finding any.  It seems to me that the genetics of
such a system may be different than a typical 2-d system.  I would
appreciate any leads on references or studies you may know of concerning
population genetics of plants in a riparian setting.
Thanks
John Reed
(E-mail: johnreed@u.washington.edu)

From owner-population-bio@net.bio.net Wed Jan 06 22:00:00 1993
Path: biosci!uwm.edu!zaphod.mps.ohio-state.edu!rpi!usenet.coe.montana.edu!news.u.washington.edu!carson.u.washington.edu!johnreed
From: johnreed@carson.u.washington.edu (John Reed)
Newsgroups: bionet.population-bio
Subject: Plant riparian population genetics
Message-ID: <1ihsooINNt6n@shelley.u.washington.edu>
Date: 7 Jan 93 18:28:40 GMT
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Newsgroups: sci.bio,bionet.plants,bionet.population-bio
Subject: Plant riparian population genetics
Summary: 
Followup-To: 
Distribution: 
Organization: University of Washington, Seattle
Keywords: 

Hi,
	I am doing research on the population genetics of black cottonwood
(Populus trichocarpa) in some river valleys in the Cascade Mountains.  I
have searched for references on population genetics of plants (trees are
preferable) in a linear spatial system (a river or stream), but have had
virtually no luck in finding any.  It seems to me that the genetics of
such a system may be different than a typical 2-d system.  I would
appreciate any leads on references or studies you may know of concerning
population genetics of plants in a riparian setting.
Thanks
John Reed
(E-mail: johnreed@u.washington.edu)

From owner-population-bio@net.bio.net Wed Jan 06 22:00:00 1993
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From: djd@cbnewsg.cb.att.com (david.j.daulton)
Newsgroups: sci.bio,bionet.plants,bionet.population-bio
Subject: Re: Plant riparian population genetics
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Regarding populus tichocarpa, I read that this is one of the "balsam
poplars", and one of the most fragrant plants to have in one's garden.
Specifically, it is supposed to smell really good when the buds first open
in the spring.  So, I sent off for one, but when it arrived, no smell.  

I tried keeping it in a pot, but it died during the winter.  Before I order
another, was the book wrong, and this is not fragrant plant, or did it
arrive after its fragrant phase, or did the nursery send me the wrong
tree?

Dave Daulton, Columbus, Ohio
  

From owner-population-bio@net.bio.net Thu Jan 07 22:00:00 1993
Path: biosci!uwm.edu!ogicse!news.u.washington.edu!stein.u.washington.edu!toby
From: toby@stein.u.washington.edu (Toby Bradshaw)
Newsgroups: sci.bio,bionet.plants,bionet.population-bio
Subject: Re: Plant riparian population genetics
Message-ID: <1iigkrINNda@shelley.u.washington.edu>
Date: 8 Jan 93 00:07:55 GMT
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In article <1993Jan7.215342.22845@cbfsb.cb.att.com> djd@cbnewsg.cb.att.com (david.j.daulton) writes:
>Regarding populus tichocarpa, I read that this is one of the "balsam
>poplars", and one of the most fragrant plants to have in one's garden.
>Specifically, it is supposed to smell really good when the buds first open
>in the spring.  So, I sent off for one, but when it arrived, no smell.  
>
>I tried keeping it in a pot, but it died during the winter.  Before I order
>another, was the book wrong, and this is not fragrant plant, or did it
>arrive after its fragrant phase, or did the nursery send me the wrong
>tree?

P. trichocarpa ("black cottonwood") is a member of the section
Tacamahaca ("balsam poplars").  The yellow, sticky bud resin
is the smell of spring in the Pacific Northwest, and can be
quite strong near a big stand.  P. balsamifera has a stronger,
less pleasant (to me) smell.  I wouldn't recommend planting
either species near a dwelling with sewers or septic tanks,
as the Populus are notorious for clogging them with a
profusion of greedy roots.

Toby Bradshaw                       |
Department of Biochemistry          |  Will make genetic linkage maps
and College of Forest Resources     |            for food.
University of Washington, Seattle   |
toby@u.washington.edu               |

From owner-population-bio@net.bio.net Thu Jan 07 22:00:00 1993
Path: biosci!uwm.edu!wupost!spool.mu.edu!agate!doc.ic.ac.uk!uknet!daresbury!news
From: benz@GSF.DE (Joachim Benz)
Newsgroups: bionet.population-bio
Subject: estimation of phenotypical variability
Message-ID: <1993Jan8.104350.927@gserv1.dl.ac.uk>
Date: 8 Jan 93 10:39:59 GMT
Sender: list-admin@daresbury.ac.uk
Distribution: bionet
Lines: 99
Original-To: pop-bio@uk.ac.daresbury
X-Mailer: ELM [version 2.3 PL11]

For a colleague of me (Anja Oetmann, email: oetmann@gsf.de) I forward
this request:
>---------------------------------------------------------------------
>   Our project aims to measure and to describe the present phenotypical
>   variability of german indigenous populations of a wide-spread grass
>   species (population in biological sense). We are interested in variation
>   within and between populations as well as in the total variability of each
>   character.
>!   The object is to minimize the number of sites that covers the
>!   over-all variance and further to preserve this variance through IN SITU
>!   conservation.
>   The problem is how to consider/eliminate the existing correlations
>   between several characters before starting mathematical analyses.
>
>Data:
>=====
>
>        * 100 sites, each divided in 3 subpopulations covering
>          spaced heterogeneity of the sites
>        * total plant number: 18 000
>        * 13 variables for each plant were observed:
>             5 measures:                            30 values/subpopulation
>             1 measure:                             60 values/subpopulation
>             7 estimations (in german: Bonituren):  60 scores/subpopulation
>        * Data of 1 year and 1 experimental site (spaced plants)
>
>
>STRATEGY TO SOLVE THE PROBLEM:
>=============================
>   1. Estimation of the univariate variability of one subpopulation
>      We define the term variability of a specific variable as follows:
>
>         VB     = [ VBL      .... VBH     ]
>           i,j,l       i,j,l         i,j,l
>
>         with:  VBL     = MEAN     -STDEV
>                   i,j,l      i,j,l      i,j,l
>                VBH     = MEAN     +STDEV
>                   i,j,l      i,j,l      i,j,l
>        (assumption: the distributions are symetric)
>         i = index of variables [1, ..., 13]
>         j = index of subpopulations [1,2,3]
>         l = index of sites [1, ..., 100]
>
>   2. Estimation of the univariate variability at one site
>
>         VBS   = [ VBMIN   .... VBMAX   ]
>            i,l         i,l          i,l
>
>         with:  VBMIN     = MIN(VBL     ,VBL     ,VBL     )
>                     i,l           i,1,l    i,2,l    i,3,l
>                VBMAX     = MAX(VBH     ,VBH     ,VBH     )
>                     i,l           i,1,l    i,2,l    i,3,l
>
>   3. Estimation of the univariate variability over all sites
>
>         VBG  = [ VBGMIN .... VBGMAX ]
>            i           i           i
>
>         with:  VBGMIN  = MIN(VBMIN     ,l=1,...,100)
>                      i             i,l
>                VBGMAX  = MAX(VBMAX     ,l=1,...,100)
>                      i             i,l
>
>    4. Selection of sites
>       Select a minimal number of sites, that the cover of the total
>       variabilties in all variables by the selected sites becomes a
>       maximum.
>
>But there is a serious problem we have no solution at the moment.
>Between the variables the covariances are not 0. PCA we can't use as an
>intermediate step to come to uncorrelated variables because the assumption
>of one density function doesn't hold. On the other hand we assume if we
>   ---
>carry out the optimization with the original variables we will get a too
>strong influence of highly correlated variables in the results.
>
>Any suggestions and discussion are appreciated.
>
>
>Thanks in advance ....


--

Sincerely,

Joachim Benz

   University of Kassel
   Faculty of Agriculture (FB 20)
   Nordbahnhofstr. 1a
   D-3430 Witzenhausen
   (FRG)

   Phone: (+49)-5542-503-560
   Fax:   (+49)-5542-503-588
   email: benz@gsf.de
          C=de; A= ; P=gsf; S=benz (X.400)

From owner-population-bio@net.bio.net Sun Jan 10 22:00:00 1993
Path: biosci!ASRR.ARSUSDA.GOV!jkirkbride
From: jkirkbride@ASRR.ARSUSDA.GOV ("JOSEPH H. KIRKBRIDE")
Newsgroups: bionet.population-bio
Subject: Documentation explaining IOPI
Message-ID: <9301111341.AA06752@net.bio.net>
Date: 11 Jan 93 12:33:00 GMT
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Lines: 681

From:	AS8250::WINS%"david@rsbs13.anu.edu.au" 22-DEC-1992 22:55:59.21
To:	JKIRKBRIDE
CC:	
Subj:	What is IOPI

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Subject: What is IOPI


Scanned from Taxon 41(May1992): 390-392.
Content-Length: 11060


IOPI NEWS
==
=======

Edited by Herve M. Burdet

Conservatoire et Jardin Botaniques, Ville de Geneve,
Case Postale 60,CH-1292 Chambesy, Switzerland.


What is IOPI?  [the International Organization for Plant Information]
=============

This new organisation came into being on September 20th, 1991, at a
meeting at the Australian National Botanic Gardens, Canberra, hosted
by the Australian Biological Resources Study. Forty-nine botanists
from eleven countries participated. The genesis of the new
internation
al organisation lay in discussions arising from an initial
proposal by Kew to establish, with a consortium of major herbaria,
a computerized taxonomic database - the Species Plantarum Project
(SPP) - and those held at Delphi, under the auspices of TDWG, in
October 1990, to consider the establishment of a Global Plant Species
Information System (GPSIS).

At a subsequent meeting at Kew in November 1990 in connexion with
SPP, it became obvious that both proposals had a common interest in
establishing 
a world checklist of vascular plants as soon as possi-
ble. It was equally clear that this would involve a major,
co-operative, truly international effort and that the project would
be extremely expensive. An interim Council was established to
expedite the proposal. This met at Kew under the successive chair-
manships of Professor Prance (June 27th) and Mr Alex George (June
28th and 29th), Professor Lucas acting as Secretary, as agreed in
November. To quote from the minutes of the meeting:

"There 
was general agreement that a new organization which could
combine and replace SPP and GPSIS, as presently constituted, by a
single organization, would prevent duplication, possible
undesirable competition, and would greatly facilitate the success of
the project. A unified will is essential to make it work on an
international scale"

Mr. George, on behalf of the relevant Australian organizations, then
offered to host a meeting to consider this proposal in Canberra where
a meeting of TDWG - whose act
ivities would be particularly relevant
to aspects of the proposal - had already been arranged. There was a
very thorough and wide-ranging discussion at Canberra of the pros and
cons of the proposal and how it would impact on existing
institutional taxonomic activities; of how it would relate to other
ongoing projects, such as those of IAPT; of the kind of support it
might attract from taxonomic institutions and elsewhere and indeed,
of whether the proposal was a viable proposition. At the end of two

days full discussion there was overwhelming support for the proposal
to establish a new organization. A Constitution was agreed and
working arrangements proposed to achieve, as the first task, a
Checklist of the vascular plants of the world.

The Constitution of IOPI sets out succinctly the objectives of the
organization, namely:

1. to promote and prepare, as expeditiously as possible, a series of
   integrated, dispersed, computerized databases, summarizing the basic
   taxonomic information (b
earing in mind the basic requirements of
   freedom of taxonomic research and opinion), and biological and
   other attributes (in particular, information relating to their
   utilization and conservation) of all kinds of plants* in the world;

   * Plants to be interpreted as those organisms covered by the
     International Code of Botanical Nomenclature.

2. to document the data in such ways as shall make them most readily
   accesible to users of all kinds, in all regions, and in such formats

   as shall seem most expedient to the governing body of IOPI;

3. thereafter, to maintain the data in an up to date form and
   continue to render them accessible in accordance with (1) and (2)
   above.

To assist in gaining international recognition for IOPI, the
Constitution also includes establishing of an association with IAPT,
TDWG, CODATA, IUCN, UNEP and UNESCO, including their representation,
ex officio, on the Council of IOPI. To date, IAPT, TDWG, IUCN and
UNEP have agreed to such an ass
ociation, and the matter is under
consideration by CODATA and UNESCO. Preliminary recognition of IOPI
as an international scientific association or commission by IUBS has
been granted with a view to ratification of full recognition and
representation at their next general assembly in 1994.

Setting out objectives is the easiest part of the task, achieving
them will be more difficult for several reasons. Firstly, the
available expertise necessary is scattered all over the world and
many of the pract
itioners are already fully engaged on existing
taxonomic tasks. IOPI will have to depend upon the goodwill and
voluntary collaboration of many institutions, together with finding
the means (where essential) to provide additional assistance, whether
for basic taxonomic work or modifications of present practice, so
that existing and ongoing knowledge can contribute to the world
database. Moreover, for many regions and several taxonomic groups
even the most basic data are lacking or very limited. It wil
l be
important for IOPI to raise funding to assist such regions to develop
taxonomic work both for their own information as well as a
contribution to world knowledge.

It is important to realize that IOPI will act primarily as a trustee
of the knowledge in the proposed world database and to facilitate the
acquisition and availability of knowledge about plants and their
attributes as an international service. Lastly, but of immense
importance, IOPI will need to work through international
collaborat
ion and to ensure that such funding activities as it may
promote compete minimally, or not at all, with the fund-raising
efforts of other taxonomic institutions and individuals. Because the
objectives of IOPI are wider than the purely taxonomic, although in
the first instance that is the area of overriding importance, the
founders of IOPI believe that sources can be tapped which will meet
the non-taxonomic competitive criterion.

To implement this approach a number of actions were agreed. Firstly,

an international Foundation Council was established to get the
project started. A Council fully in accordance with the Constitution
is to be elected by postal ballot of members in 1992 to become
effective from the next plenary meeting of IOPI to be held in Xalapa,
Mexico, in Autumn 1992 (in association with a TDWG meeting).

Secondly, a World Plant Checklist Committee having a wide regional
representation was seen as a prime necessity. Dr. David Hunt of Kew
was asked to establish and lead it. This b
ody will co-ordinate and
promote the range of activities necessary to achieve a working
checklist in an initial target period of 5 years. Inter alia it will
have to organize commitments and contributions from different
participants and establish regional groups so that participants can
keep in touch both with each other and with the project as a whole.

Thirdly, the Checklist Committee will be supported by four
international Working Groups. One will develop a Taxonomic Resources
Network (TRN, chair
ed by Nancy Morin, St Louis) to assess what is
already available, identify regional and taxonomic gaps and provide
information to others in the project. A second will be concerned with
Dataset Definition and Standards (DDS, chaired by Frank Bisby,
Southampton), for work allied to that already being carried out by
TDWG. It is expected that this group should be able to provide a
minimum dataset with appropriate definitions of acceptable standards
early in 1992. The Information System Design group (ISD,
 chaired by
Catherine Zellweger, Geneva) will first examine the question of basic
transfer formats in current use, as advised by TRN in collaboration
with DDS. But its major task will be to develop an adequate and
effective system for the final Checklist so that it will be possible
to integrate other data, taxonomic and non-taxonomic, into it.
K. Beese (Brussels) has been asked to form an additional User
working group to look into what other kinds of data should be
incorporated into the taxonomic ch
ecklist and with what priority.

Lastly, the Products and Editing group (PE, chaired by Herve Burdet)
will be concerned with the form of the final products as well as the
editing en route.

As has already been said, IOPI will have to depend greatly on the
voluntary participation of institutions and individuals world-wide,
and most of the financing of basic taxonomic work will be that
available to each participant in the course of normal work.
However, if the project is to be truly developed and in
tegrated
internationally, then some central funding will have to be found to
cover the running costs of maintaining communications and the like,
as well as for assisting with travel when no other source is
available. A Finance working group (chaired by J. Scott Petersen,
US.D.A., Beltsville) has therefore been established both to seek
support and supporters for all financial aspects of the work. While
this group will, of course, actively seek general funds for central
activities, it will also try to
 respond to, and promote, the needs of
other groups within the project. For instance the Checklist Committee
will have to meet at least once before the next full meeting of IOPI and
ISD would like to hold a number of small workshops involving people
from different parts of the world.

Geneva has most generously offered to prepare, circulate, and meet
the cost of an IOPI Newsletter (to be edited by Herve M. Burdet) and
this should greatly aid communication.

However, until the first Newsletter is p
roduced, further detailed
information about IOPI can best be obtained from its Secretary, Alex
George, Australian Biological Resources Study, GPO Box 636, Canberra,
ACT 2601, Austral
From owner-population-bio@net.bio.net Tue Jan 12 22:00:00 1993
Path: biosci!agate!spool.mu.edu!caen!batcomputer!cornell!uw-beaver!news.u.washington.edu!carson.u.washington.edu!johnreed
From: johnreed@carson.u.washington.edu (John Reed)
Newsgroups: bionet.population-bio
Subject: Plant riparian population genetics
Message-ID: <1ivtktINNqi6@shelley.u.washington.edu>
Date: 13 Jan 93 02:09:33 GMT
Organization: University of Washington, Seattle
Lines: 18
NNTP-Posting-Host: carson.u.washington.edu


Hi,
	I am doing research on the population genetics of black cottonwood
(Populus trichocarpa) in some river valleys in the Cascade Mountains.  I
have searched for references on population genetics of plants (trees are
preferable) in a linear spatial system (a river or stream), but have had
virtually no luck in finding any.  It seems to me that the genetics of
such a system may be different than a typical 2-d system.  I would
appreciate any leads on references or studies you may know of concerning
population genetics of plants in a riparian setting.
Thanks
--------------------------------------------------------------------------
John Reed
College of Forest Resources, AR-10
University of Washington
Seattle, WA 98195
Internet: johnreed@u.washington.edu
--------------------------------------------------------------------------

From owner-population-bio@net.bio.net Sat Jan 16 22:00:00 1993
Path: biosci!agate!dog.ee.lbl.gov!hellgate.utah.edu!fcom.cc.utah.edu!rogers
From: rogers@anthro.utah.edu (Alan R. Rogers)
Newsgroups: bionet.population-bio
Subject: Re: Plant riparian population genetics
Message-ID: <1993Jan17.223642.8934@fcom.cc.utah.edu>
Date: 17 Jan 93 22:36:42 GMT
References: <1ihsooINNt6n@shelley.u.washington.edu>
Sender: news@fcom.cc.utah.edu
Organization: U of Utah Dept of Anthropology
Lines: 85

In article <1ihsooINNt6n@shelley.u.washington.edu>, johnreed@carson.u.washington.edu (John Reed) writes:
|> Newsgroups: sci.bio,bionet.plants,bionet.population-bio
|> Subject: Plant riparian population genetics
|> Summary: 
|> Followup-To: 
|> Distribution: 
|> Organization: University of Washington, Seattle
|> Keywords: 
|> 
|> Hi,
|> 	I am doing research on the population genetics of black cottonwood
|> (Populus trichocarpa) in some river valleys in the Cascade Mountains.  I
|> have searched for references on population genetics of plants (trees are
|> preferable) in a linear spatial system (a river or stream), but have had
|> virtually no luck in finding any.  It seems to me that the genetics of
|> such a system may be different than a typical 2-d system.  I would
|> appreciate any leads on references or studies you may know of concerning
|> population genetics of plants in a riparian setting.
|> Thanks
|> John Reed
|> (E-mail: johnreed@u.washington.edu)
|> 

There are lots of articles on genetic population structure in 1-d habitats, but
not much of it is specifically about plants.  However, the theoretical literature
ought to apply equall to plants and animals.  The relevant subjects are "linear
stepping stone models" and "circular stepping stone models". 

Here are a few references that I happen to have online.  

@book{Maruyama:77,
  author = 	"Maruyama, Takeo",
  year = 	1977,
  title =	"Stochastic Problems in Population Genetics", 
  address = 	"New York",
  publisher = 	"Spring\-er-Ver\-lag"
}

@Article{Carmelli:TPB-9-329,
  author = 	"Carmelli, D. and L.L Cavalli-Sforza",
  year = 	1976,
  title = 	"Some Models of Population Structure and Evolution", 
  journal =	TPB,
  volume =	9,
  pages = 	"329--359"
}

@incollection{Karlin:EB-4-61,
  author = 	"Karlin, S.",
  year = 	1982,
  title = 	"Classifications of Selection-Migration Structures and
		 Conditions for a Protected Polymorphism",
  pages = 	"61--204",
  editor =	"M. K. Hecht and B. Wallace and G. T. Prance",
  booktitle =	"Evolutionary Biology",
  volume =	4,
  address = 	"New York",
  publisher = 	"Plenum"
}

@Article{Kimura:G-49-561,
  author = 	"Kimura, M. and G. H. Weiss",
  year = 	1964,
  title = 	"The Stepping Stone Model of Population Structure and
		 the Decrease of Genetic Correlation with Distance",
  journal =	"Genetics",
  volume = 	49,
  pages = 	"561--576"
}

@Article{Rogers:AN-135-398,
  author = 	"Rogers, Alan R.",
  title = 	"Group Selection by Selective Emigration: The Effects
		 of Migration and Kin Structure",
  journal = 	AmNat,
  year = 	"1990",
  volume = 	"135",
  pages = 	"398--413",
}

-- 
Alan Rogers                     WORK PHONE   : (801) 581-5529
Dept. of Anthropology           HOME PHONE   : (801) 486-6013
Univ. of Utah                   INTERNET: rogers@anthro.utah.edu
Salt Lake City, UT 84112, USA

From owner-population-bio@net.bio.net Wed Jan 20 22:00:00 1993
Path: biosci!uwm.edu!rpi!utcsri!torn!news.ccs.queensu.ca!qucdn!promislo
From: PROMISLO@QUCDN.QueensU.CA
Newsgroups: bionet.molbio.evolution,bionet.population-bio
Subject: growth curve sex.dimorphism
Message-ID: <93021.115126PROMISLO@QUCDN.QueensU.CA>
Date: 21 Jan 93 16:51:25 GMT
Organization: Queen's University at Kingston
Lines: 5
Xref: biosci bionet.molbio.evolution:735 bionet.population-bio:373

I am in search of recent comparative studies on sexual dimorphism of
growth curves in mammals. Any suggestions?
Thanks,
Daniel Promislow
(Direct reply to promislo@qucdn.queensu.ca would be appreciated)

From owner-population-bio@net.bio.net Fri Jan 22 22:00:00 1993
Path: biosci!NET.BIO.NET!kristoff
From: kristoff@NET.BIO.NET (David Kristofferson)
Newsgroups: bionet.population-bio
Subject: BIOSCI/bionet Frequently Asked Questions
Message-ID: <9301231000.AA28603@net.bio.net>
Date: 23 Jan 93 10:00:02 GMT
Sender: kristoff@net.bio.net
Distribution: bionet
Lines: 16


New users of BIOSCI/bionet may want to read the "Frequently Asked
Questions" or "FAQ" sheet for BIOSCI.  The FAQ provides details on how
to participate in these forums and is available for anonymous FTP from
net.bio.net [134.172.2.69] in pub/BIOSCI/biosci.FAQ.  It may also be
requested by sending e-mail to biosci@net.bio.net (use plain English
for your request).  The FAQ is also posted on the first of each month
to the newsgroup BIONEWS/bionet.announce immediately following the
posting of the BIOSCI information sheet.

				Sincerely,

				Dave Kristofferson
				BIOSCI/bionet Manager

				kristoff@net.bio.net

From owner-population-bio@net.bio.net Sat Jan 30 22:00:00 1993
Path: biosci!agate!spool.mu.edu!sdd.hp.com!caen!umeecs!quip.eecs.umich.edu!bagchi
From: bagchi@quip.eecs.umich.edu (Ranjan Drzzzzt!  Bagchi)
Newsgroups: comp.theory.dynamic-sys,bionet.population-bio,sci.fractals
Subject: Examples needed
Message-ID: <1993Jan31.224819.2673@zip.eecs.umich.edu>
Date: 31 Jan 93 22:48:19 GMT
Sender: news@zip.eecs.umich.edu (Mr. News)
Organization: University of Michigan EECS Dept., Ann Arbor, MI
Lines: 29
Xref: biosci comp.theory.dynamic-sys:110 bionet.population-bio:375 sci.fractals:766


	Hi.  I'm having a hell of a time finding an example of
a chaotic attractor in a 3-species predator-victim system with either
Lotka-Volterra characteristics, or logistic characteristics.

	I do have (from Hastings and Powell, 1991) an example of
a chaotic attractor in a system type-II functional response:

dx/dt = x(1-x) - f1(x)y
dy/dt = f1(x)y - f2(y)z - d1y
dz/dt = f2(y)z - d2z

fn(u) = a_n u/(1 - b_n u)

with constants -- d = ( 0.4 0.01)
		  a = (5 0.1)
		  b = (3 2.0)

I don't see why I'm having a problem pushing this into
a logistic or simple lotka-volterra model, but I'm either
getting populations that crash or exponential.

	help??

	-rj
	
-- 
Ranjan Bagchi					       Ranjan.Bagchi@umich.edu
oo   oooo  o oo   ooo oo oo   oo       o o  oooo ooo o       o        oooooooo

