Ash Reduction Model 1" Diameter Class
Version 1.0, Tara L.Eberhart, Andrew J. Storer, Linda M. Nagel
Copyright Michigan Technological University
5/6/2006
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.
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.
Ash species, growing conditions, and phloem widths will be incorporated in future models.
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.
Version 1.0 Input Requirements
ASH Trees Only
Trees per Acre						Retaining Small Trees			Retaining Large Trees
						Target Percentages			Target Percentages
This information should be available from stand and stock tables.						Diameter Limit Cut			Diameter Limit Cut
						99%			99%
						95%			95%
						90%			90%
	1" Size Class Increments					75%			75%
	DBH Class "	No. Trees/Acre	% Surface Area	Cumulative Surface Area Ascending	Cumulative Surface Area Decending	s	x	95% calc		90%calc		99% calc		0.75		50		25				DBH Class "	No. Trees/Acre	Equation	Total Surface Area/ D class	% Surface Area	Cumulative Surface Area Ascending	Cumulative Surface Area Decending	s	b	95% calc		90%calc		99% calc		0.75		50		25
	3																					3
	4																					4
	5																					5
	6																					6
	7																					7
	8																					8
	9																					9
	10																					10
	11																					11
	12																					12
	13																					13
	14																					14
	15																					15
	16																					16
	17																					17
	18																					18
	19																					19
	20																					20
	Total																					Total
									0.95		0.9		0.99		0.75		0.5		0.25													0.95		0.9		0.99		0.75
Summary
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