In 1990 Bender, Canfield, and McKay gave an asymptotic formula for the number of connected graphs on
To understand and forecast biological responses to climate change, scientists frequently use field experiments that alter temperature and precipitation. Climate manipulations can manifest in complex ways, however, challenging interpretations of biological responses. We reviewed publications to compile a database of daily plot‐scale climate data from 15 active‐warming experiments. We find that the common practices of analysing treatments as mean or categorical changes (e.g. warmed vs. unwarmed) masks important variation in treatment effects over space and time. Our synthesis showed that measured mean warming, in plots with the same target warming within a study, differed by up to 1.6
- Award ID(s):
- 1832210
- PAR ID:
- 10460128
- Publisher / Repository:
- Wiley-Blackwell
- Date Published:
- Journal Name:
- Ecology Letters
- Volume:
- 22
- Issue:
- 4
- ISSN:
- 1461-023X
- Page Range / eLocation ID:
- p. 748-763
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
Abstract with m edges, whenever and . We give an asymptotic formula for the number of connected r‐uniform hypergraphs on with m edges, whenever is fixed and with , that is, the average degree tends to infinity. This complements recent results of Behrisch, Coja‐Oghlan, and Kang (the case ) and the present authors (the case , ie, “nullity” or “excess” o (n )). The proof is based on probabilistic methods, and in particular on a bivariate local limit theorem for the number of vertices and edges in the largest component of a certain random hypergraph. The arguments are much simpler than in the sparse case; in particular, we can use “smoothing” techniques to directly prove the local limit theorem, without needing to first prove a central limit theorem. -
Abstract We prove that a WLD subspace of the space
consisting of all bounded, countably supported functions on a set Γ embeds isomorphically into if and only if it does not contain isometric copies of . Moreover, a subspace of is constructed that has an unconditional basis, does not embed into , and whose every weakly compact subset is separable (in particular, it cannot contain any isomorphic copies of ). -
Abstract In this paper, we are interested in the following question: given an arbitrary Steiner triple system
on vertices and any 3‐uniform hypertree on vertices, is it necessary that contains as a subgraph provided ? We show the answer is positive for a class of hypertrees and conjecture that the answer is always positive. -
Abstract If
G is a graph andis a set of subgraphs of G , then an edge‐coloring ofG is called‐polychromatic if every graph from gets all colors present in G . The‐polychromatic number of G , denoted, is the largest number of colors such that G has an‐polychromatic coloring. In this article, is determined exactly when G is a complete graph andis the family of all 1‐factors. In addition is found up to an additive constant term when G is a complete graph andis the family of all 2‐factors, or the family of all Hamiltonian cycles. -
Abstract A graph
G is said to be 2‐divisible if for all (nonempty) induced subgraphsH ofG ,can be partitioned into two sets such that and . (Here denotes the clique number of G , the number of vertices in a largest clique ofG ). A graphG is said to be perfectly divisible if for all induced subgraphsH ofG ,can be partitioned into two sets such that is perfect and . We prove that if a graph is ‐free, then it is 2‐divisible. We also prove that if a graph is bull‐free and either odd‐hole‐free or P 5‐free, then it is perfectly divisible.