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This study explores the complexities of disturbance mosaics, emphasizing how treefall gaps, hurricanes, and fires create patchy, recurrent disturbances that influence demographic and environmental states. It investigates how these states vary over time and the dynamics of structured populations within a heterogeneous landscape. Through the use of environmental transition matrices and megamatrices, we analyze how different environmental states interact and how stochastic sequences impact population projections. The findings contribute to understanding cumulative population growth and the elasticities of life-history events across various environments.
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Disturbance mosaics (treefall gaps, hurricanes, fires) • Patchy, recurrent disturbance • environment states vary demographically • environment states change over time • Dynamics includes demographic and environment transitions
Concepts • Structured populations • Mosaic of environmental states • Each environmental state = one population projection matrix • Entire heterogeneous landscape = set of matrices
Many different ways to link together... • arithmetic average • products of matrices (a fixed sequence) • Megamatrix • Stochastic sequence
Megamatrix • Environment-by-stage classes • Matrix size = no. of environments x no. stages • Environmental transition matrix • Aggregates over all patches of a given environment at each time step
Environmental characteristics from a matrix? • Sequence of types of environments • Temporal autocorrelation • Relative abundance of types of environments in the sequence over time reaches an equilibrium
What happens here next? • Start green • 50% chance of going to Red • 50% chance of going to Blue • Start red • 50% chance of going to Green • 50% chance of staying Red • Start blue • 100% probability of going to Green
Try it… • Start red.
Environment transition phenology census census time t t+1 late change early change
New sensitivity questions • Environment by life history stage classification • Does the same life-history event in different environments differ in elasticity values? • Elasticities (can be summed) • By environment • By stage across all environments • By stage within environments • …
What’s next? • Cumulative pop growth • Stochastic sequences • Stochastic elasticities • Age from stage