This chapter focuses on data that exhibit long-term memory and, in addition, may be influenced by external deterministic trends. Examples for data with long-term memory are temperature and river runoff records, and deterministic trends may be caused by the increased emissions of greenhouse gases or increased urbanization, leading to global or urban warming. We show how long-term correlations can be quantified in the presence of external trends and to which extent external (approximately linear) trends can be detected in the presence of long-term memory.
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Univ Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USAUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Ruddiman, W. F.
Fuller, D. Q.
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UCL, Inst Archaeol, London, EnglandUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Fuller, D. Q.
Kutzbach, J. E.
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Univ Wisconsin, Ctr Climat Res, Madison, WI USAUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Kutzbach, J. E.
Tzedakis, P. C.
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UCL, Dept Geog, Environm Change Res Ctr, London, EnglandUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Tzedakis, P. C.
Kaplan, J. O.
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Ecole Polytech Fed Lausanne, Inst Environm Engn, ARVE Grp, Lausanne, SwitzerlandUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Kaplan, J. O.
Ellis, E. C.
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Univ Maryland, Baltimore County, Dept Geog & Environm Syst, Catonsville, MD 21228 USAUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Ellis, E. C.
Vavrus, S. J.
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Univ Wisconsin, Ctr Climat Res, Madison, WI USAUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Vavrus, S. J.
Roberts, C. N.
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Univ Plymouth, Sch Geog Earth & Environm Sci, Plymouth PL4 8AA, Devon, EnglandUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Roberts, C. N.
Fyfe, R.
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Univ Plymouth, Sch Geog Earth & Environm Sci, Plymouth PL4 8AA, Devon, EnglandUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
Fyfe, R.
He, F.
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Univ Wisconsin, Ctr Climat Res, Madison, WI USA
Oregon State Univ, Coll Earth Ocean & Atmospher Sci, Corvallis, OR 97331 USAUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA
He, F.
Lemmen, C.
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Helmholtz Zentrum Geesthacht, Ctr Mat & Coastal Res, Geestracht, GermanyUniv Virginia, Dept Environm Sci, Clark Hall, Charlottesville, VA 22903 USA