Ash Reduction Model 1"Diameter Class
Version 1.4, Tara L.Eberhart, Andrew J. Storer, Linda M. Nagel
Copyright Michigan Technological University							Version 1.4 Input Requirements
10/3/2008							ASH Trees Only
							Trees per Acre
	Forest Trees						Ash Species may be used, but if not known use Any Ash Species column
	1" Size Class Increments						Use Open Grown Model if most trees are receiving 4 or 5 sides of direct sunlight
			No. Trees per Acre				Use Forest Model if working in a forest setting or most trees receiving sunlight on 3 sides or less
	DBH Class "	Any Ash Species	Green Ash and/or White Ash	Black Ash	% Surface Area
	2
	3
	4
	5
	6
	7
	8													Retaining Small Trees
	9													Target Percentages
	10													Diameter Limit Cut
	11													99%
	12													95%
	13													90%
	14													75%
	15													*Cutting all ash down to this size limit
	16
	17
	18
	19													Retaining Large Trees
	20													Target Percentages
	21													Diameter Limit Cut
	22													99%
	23													95%
	Total													90%
														75%
Summary														* Cutting all ash up to this size limit
This version of the model serves to show what diameter limit cut would be needed in order to reduce the total surface area of ash trees in a stand by a desired amount.
The bottom table of Retaining Large Trees is calculated from the same graph as the top table, with the percent axis reversed.
This model can be used with Fraxinus nigra, or F. pennsylvanica and F. americana combined, or if species is only partially known, or not known at all, any ash species may be entered.
Separate equations are used for individual species but the total ash reduction is combined for all the ash in the stand.
Light Exposure and crown class have been accounted for in this model. The open grown version is appropriate if the majority of trees in the target area
are open grown trees, or are receiving full sunlight on 4 or 5 sides including the top of the tree.
The Forest version of the model is appropriate if the target reduction area is a forest setting and the majority of trees are receiving sunlight on 3 sides or less.
Over 500 ash trees have had their specific morphology recorded to estimate total surface area which is a good indicator of total phloem available to emerald ash borer.
This model only works with the ash component of a stand regardless of total stand size, other tree species presence, or how much ash there is present.
Depending on management goals, this model can be used to determine a lower diameter limit cut to retain small trees,
and an upper diameter limit cut to retain large trees. Surface area can be used as an estimate of phloem, a critical resource, available to
emerald ash borer in a stand. Use of this model in management decisions will reduce the ash resource available to emerald ash borer
by a target percentage and help maintain ash as a component in our forests and its genetic diversity
Note: surface area reduction will reduce the amount of breeding substrate (phloem) in the stand by a target level,
thereby reducing the population potential of eab, not ensuring remaining ash to be uninfested