Bounding seed loss from isolated habitat patches

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Hafner, Benjamin, Meyer, Katherine
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866916206833827840
author Hafner, Benjamin
Meyer, Katherine
author_facet Hafner, Benjamin
Meyer, Katherine
contents Dispersal of propagules (seeds, spores) from a geographically isolated population into an uninhabitable matrix can threaten population persistence if it prevents new growth from keeping pace with mortality. Quantifying propagule loss can thus inform restoration and conservation of vulnerable populations in fragmented landscapes. To model propagule loss in detail, one can integrate dispersal kernels (probabilistic descriptions of dispersal) and plant densities. However, one might lack the detailed spatial information and computational tools needed by such integral models. Here we derive two upper bounds on the probability of propagule loss--one assuming rotational symmetry of dispersal and the other not--that require only habitat area, habitat perimeter, and the mean dispersal distance of a propagule. We compare the bounds to simulations of integral models for the population of Asclepias syriaca (common milkweed) at McKnight Prairie--a 13.7 hectare reserve surrounded by agricultural fields in Goodhue County, Minnesota--and identify conditions under which the bounds closely estimate propagule loss.
format Preprint
id arxiv_https___arxiv_org_abs_2404_09947
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bounding seed loss from isolated habitat patches
Hafner, Benjamin
Meyer, Katherine
Populations and Evolution
Probability
92D40
Dispersal of propagules (seeds, spores) from a geographically isolated population into an uninhabitable matrix can threaten population persistence if it prevents new growth from keeping pace with mortality. Quantifying propagule loss can thus inform restoration and conservation of vulnerable populations in fragmented landscapes. To model propagule loss in detail, one can integrate dispersal kernels (probabilistic descriptions of dispersal) and plant densities. However, one might lack the detailed spatial information and computational tools needed by such integral models. Here we derive two upper bounds on the probability of propagule loss--one assuming rotational symmetry of dispersal and the other not--that require only habitat area, habitat perimeter, and the mean dispersal distance of a propagule. We compare the bounds to simulations of integral models for the population of Asclepias syriaca (common milkweed) at McKnight Prairie--a 13.7 hectare reserve surrounded by agricultural fields in Goodhue County, Minnesota--and identify conditions under which the bounds closely estimate propagule loss.
title Bounding seed loss from isolated habitat patches
topic Populations and Evolution
Probability
92D40
url https://arxiv.org/abs/2404.09947