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Research ArticleArticles

Simple Street Tree Sampling

David J. Nowak, Jeffrey T. Walton, James Baldwin and Jerry Bond
Arboriculture & Urban Forestry (AUF) November 2015, 41 (6) 346-354; DOI: https://doi.org/10.48044/jauf.2015.030
David J. Nowak
David J. Nowak (corresponding author), Project Leader, USDA Forest Service, Northern Research Station, 5 Moon Library, SUNY-ESF, Syracuse, New York 13210, U.S.,
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  • For correspondence: [email protected]
Jeffrey T. Walton
Jeffrey T. Walton, Professor, Paul Smith’s College, Routes 86 & 30, P.O. Box 265, Paul Smiths, New York 12970-0265, U.S.,
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  • For correspondence: [email protected]
James Baldwin
James Baldwin, Statistician, USDA Forest Service, Pacific Southwest Research Station, 800 Buchanan St. West Annex Building, Albany, California 94710-0011, U.S.,
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  • For correspondence: [email protected]
Jerry Bond
Jerry Bond, Consulting Urban Forester, Urban Forest Analytics LLC, 3904 Willowdale Lane, Geneva, New York 14456-9267, U.S.,
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  • For correspondence: [email protected]
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Article Figures & Data

Figures

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  • Figure 1.
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    Figure 1.

    Comparison of relative standard error (RSE) versus percent of block segments sampled in analyzed cities using simple random sampling. For most cities, a 10% RSE could be reached with a sample between 2.2% and 4.6% of the block segments. However, in Parkersburg, West Virginia, a 32% block sample was needed to attain a 10% RSE.

  • Figure 2.
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    Figure 2.

    Average and standard error of total street tree population estimate in Syracuse, New York, based on 30 random samples of varying number of block segments. Dotted line represents the actual street tree total. Dots represent each individual sample estimate. Error bars represent standard error estimate for population total from the 30 samples.

  • Figure 3.
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    Figure 3.

    Comparison of relative standard error versus number of sample block segments between simple random sampling and random sampling with known block length (ratio estimate) in Syracuse, New York.

  • Figure 4.
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    Figure 4.

    The reduction of relative standard error (from Figure 3) with the addition of one block segment in Syracuse, New York. Reduction in RSE varies depending upon how many block segments were previously sampled (x-axis).

Tables

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    Table 1.

    Street tree, removal, and Norway maple statistics for analyzed U.S. cities.

    CityNo. blocksStreet treesRemovalsNorway maple
    Totalz10% RSEy%xAvg.wSEvTotalz10% RSEy%xAvg.wSEvTotalz10% RSEy%xAvg.wSEv
    Buffalo, New York5,95467,5931452.411.413.83,1195789.70.51.315,8235238.82.76.4
    Lansing, Michigan5,38157,9021162.210.811.70nana0.00.09,7883236.01.83.4
    Livonia, Michigan3,35737,854892.711.310.747181424.20.10.510,3302778.33.15.3
    Parkersburg, West Virginia8761,73427931.82.04.013251558.80.20.510763872.80.10.6
    Syracuse, New York5,12234,1491853.66.79.22,34565412.80.51.38,3573296.41.63.1
    Wilmington, Delaware2,13212,586984.65.96.026377036.10.10.457365430.70.30.8
    • ↵z Total number of trees.

    • ↵y Number of block segments sampled to reach a 10% relative standard error.

    • ↵x Percent of block segments needed to reach a 10% relative standard error.

    • ↵w Average number per block.

    • ↵v Standard error of average number per block.

    • View popup
    Table 2.

    Comparison of sample sizes needed to attain various relative standard errors (RSE) for analyzed U.S. cities.

    RSEBuffalo, New YorkLansing, MichiganLivonia, MichiganParkersburg, West VirginiaSyracuse, New YorkWilmington, Delaware
    %No.%No.%No.%No.%No.%No.
    20%0.6370.6300.72310.5921.2260.948
    10%2.41452.21162.78931.82794.5983.6185
    5%9.15398.04339.732765.157016.134313.0668
    1%71.34,24868.63,69173.02,44998.885882.71,76478.94,043
    • Note: % - Percent of total block segments sampled to attain RSE; No. - Number of block segments sampled to attain RSE.

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Arboriculture & Urban Forestry (AUF): 41 (6)
Arboriculture & Urban Forestry (AUF)
Vol. 41, Issue 6
November 2015
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Simple Street Tree Sampling
David J. Nowak, Jeffrey T. Walton, James Baldwin, Jerry Bond
Arboriculture & Urban Forestry (AUF) Nov 2015, 41 (6) 346-354; DOI: 10.48044/jauf.2015.030

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Simple Street Tree Sampling
David J. Nowak, Jeffrey T. Walton, James Baldwin, Jerry Bond
Arboriculture & Urban Forestry (AUF) Nov 2015, 41 (6) 346-354; DOI: 10.48044/jauf.2015.030
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Keywords

  • Block Sampling
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