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SURVIVAL OF THE SPOTTED OWLS Using actual field data from demographic studies, R. Lamberson and co- workers considered the following stage-matrix model:? jk+1 .33 jk Sk+1 .18 Sk Ak+1 .71 .94 Ak • Here the number of new juvenile females in year k + 1 is .33 times the number of adult females in year k (based on the average birth rate per owl pair). • Also, 18% of the juveniles survive to become subadults, and 71% of the subadults and 94% of the adults survive to be counted as adults. • The stage-matrix model is a difference equation of the form xx+1 = Axg-

SURVIVAL OF THE SPOTTED OWLS Using actual field data from demographic studies, R. Lamberson and co- workers considered the following stage-matrix model:? jk+1 .33 jk Sk+1 .18 Sk Ak+1 .71 .94 Ak • Here the number of new juvenile females in year k + 1 is .33 times the number of adult females in year k (based on the average birth rate per owl pair). • Also, 18% of the juveniles survive to become subadults, and 71% of the subadults and 94% of the adults survive to be counted as adults. • The stage-matrix model is a difference equation of the form xx+1 = Axg-

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 33E
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SURVIVAL OF THE SPOTTED OWLS Using actual field data from demographic studies, R. Lamberson and co- workers considered the following stage-matrix model:2 jk+1 .33 Jk Sk+1 .18 Sk Ak+1 .71 .94 Ak • Here the number of new juvenile females in year k +1 is .33 times the number of adult females in year k (based on the average birth rate per owl pair). • Also, 18% of the juveniles survive to become subadults, • and 71% of the subadults and 94% of the adults survive to be counted as adults. • The stage-matrix model is a difference equation of the form x+1 Axg. %D
Transcribed Image Text:SURVIVAL OF THE SPOTTED OWLS Using actual field data from demographic studies, R. Lamberson and co- workers considered the following stage-matrix model:2 jk+1 .33 Jk Sk+1 .18 Sk Ak+1 .71 .94 Ak • Here the number of new juvenile females in year k +1 is .33 times the number of adult females in year k (based on the average birth rate per owl pair). • Also, 18% of the juveniles survive to become subadults, • and 71% of the subadults and 94% of the adults survive to be counted as adults. • The stage-matrix model is a difference equation of the form x+1 Axg. %D
Suppose the search survival rate of the juvenile owls is 50%, so the (2, 1) - entry in the stage-matrix A in (10) is .30 instead of .18. What does the stage-matrix model predict about this spotted owl population?
Transcribed Image Text:Suppose the search survival rate of the juvenile owls is 50%, so the (2, 1) - entry in the stage-matrix A in (10) is .30 instead of .18. What does the stage-matrix model predict about this spotted owl population?
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