Abstract:
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To comprehensively measure population trends or other characteristics, a species must be monitored across its geographic range. Sampling locations must be spatially representative and sufficiently numerous to provide adequate statistical power. However, designing an adequate sampling strategy across a large spatial area is challenging. We develop a statistically robust framework for detecting population trends, using a case study of milkweed, which is a crucial resource for monarch butterflies. We illustrate two tools that address the challenges facing large-scale monitoring schemes: 1) a simulation-based power analysis to estimate the number of sampling locations needed for robust inference, and 2) Generalized Random Tessellation Stratified (GRTS) sampling to identify a list of spatially balanced sampling locations. Both tools are sufficiently flexible to be applied to a wide variety of organisms and study designs, and can be easily updated as additional information becomes available. Together, these tools provide a broadly applicable framework for designing a statistically robust, spatially balanced, and comprehensive sampling scheme at a continental scale.
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