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Linking spatial and temporal patterns in resource availability, individual performance, & population dynamics. Primary thesis objectives. Determine how much individual detail is needed in models of population dynamics.
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Linking spatial and temporal patterns in resource availability, individual performance, & population dynamics.
Primary thesis objectives • Determine how much individual detail is needed in models of population dynamics. • Relate explicitly spatial and temporal variation in resource abundance to individual “success”.
Red Squirrel (Tamiasciuris hudsonicus) For today…. • Population level dynamics of red squirrels in Kluane valley • Temporal/spatial variation in resource abundance and territory sizes
1. Population dynamics: • Holistic approach assumes: • Habitat is homogeneous • All individuals are identical • Reductionist approach assumes: • individual level of detail is important Go with Holistic View - for now
60 m Midden locations
KL SU 60 m
Population models • 4 competing models • Density independent: Nt+1 = Nt•ea • Density dependent: Nt+1 = Nt•ea+bNt • Delayed density dependent: Nt+1 = Nt•ea+bNt+cNt-1 • Response Surface model: Nt+1 = Nt•ea+bNt+cNt-1+dNt2+eNt-12+fNtNt-1 • AICc used to compare model fit to data
Population summary • Food and density effects appear to differ between these ‘populations’ • KL - Density independent/Density dependent • SU - Density dependent • Habitat quality too???
Why are they different? • Different birth rates, survival patterns? • λ-contribution analysis (λ=er) • which life-history characteristic best-tracks changes in population growth-rate? • begin to tease apart what life-history is related to changes in the population growth rate (ie. fecundity, survival) • also, investigate spatial variation in this “key-factor” within each population, and relate to territory ‘quality’
3m Annual cone production • White spruce - a masting species • Cone index - count top 3m of tree • Cone calibration - count all cones!! Actual cone range: 1 - 2774 y=1.185*x r2=0.996
* * * * * 350 300 250 200 Spruce Cones 150 100 50 0 1988 1990 1992 1994 1996 1998 2000
* * * * *
Territory size Methods: - individual squirrels visually observed - territorial behaviours & locations noted - 100 % MCP 60 m 1994 and 2001
* * * * * Temporal patterns
* * * * * Temporal patterns
* * * * * ANOVA P > 0.05 NS Number of offspring per female per year.
* * * * * ANOVA P < 0.001 Number of squirrels weaned per female per year.
* * * * * ANOVA P < 0.001 Number of squirrels born surviving to one year.
Territory Size - temporal summary • Territory size decreases after a mast year, otherwise • size appears mostly constant • No significant effect of resource fluctuations on litter size, BUT significant effect on juvenile survival to weaning, 1-yr
Spatial vegetation patterns • Vegetation transects every 60m • - 3 transects 1200, 2400, 3600 • - each transect 4m x 25m • Kriged surfaces based on transects (10m2 cell size) • - ws density • - ws density >5cm dbh, alive • - bark beetle killed trees • - aspen • - willow
60 m Total white spruce density
60 m Midden placement (total ws den)
60 m White spruce (>5cm dbh, alive) density
60 m Bark beetle killed spruce density
60 m Aspen density
60 m Willow density
60 m White spruce (>5cm dbh, alive) density and August 2002territories
60 m White spruce (>5cm dbh, alive) density,Juneand Augustterritories
84 166 110 399 123 579 248 170 293 70 175 101 139 429 120 57 119 95 310 143 286 40 58 122 41 652 28 700 1034 400 735 258 333 579 90 60 m Number of white spruce (>5cm dbh) and Augustterritories
Spatial patterns in cone production • IS IT SPATIALLY HOMOGENEOUS??? • Additional cone count trees established in 2002 • Modelling cone production • - independent variables: dbh, density of surrounding trees, dbh of surrounding trees, location (r2 = 0.38) • plus.. slope, aspect, height, basal light class (r2 = 0.60)
Goal - to map variation in habitat quality c c c c c c = +
Continuing Objectives • Continue to develop cone production models • Link spatial and temporal cone availabity and territory size to territory quality & “success” • Investigate individual contributions to overall population dynamics
Long-Term Food Add Thoughts • What happens to territory size when under constant high food conditions? • Will females maintain high reproductive output under high food? • What’s the key factor for recruitment? • (What is the effect of lack of cues for increased cone production?)
Summer 2002 – field methods 1. Territory mapping