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Spacing Calculator for
                                                                       Biointensive Mixed Plantings
                                                                               Michael Bomford, Kentucky State University
                                                                        Organic Agriculture Working Group, http://organic.kysu.edu
                                                                                400 East Main Street, Frankfort, KY 40601


  BACKGROUND                                                                              THE PROBLEM                                                 TOOLS BASED ON MIXTURE SPACING EQUATION
  Mixed planting, or companion planting, can offer                                        •    Mixed plantings spaced according
      benefits over monocultures:                                                              to Jeavons’ recommendations
  • Mixed crops often have higher yields than                                                  require more land than separate                        SPACING CALCULATOR
      monocultures because different species use                                               monoculture beds when:                                   SPREADSHEET
      different resources, making more efficient use of                                             –    One crop is much larger than the             •      Select options from drop-down menus:
      land.1                                                                                             other
                                                                                                                                                                  –      1. Use pure stand spacing
                                                                                                    –    The smaller crop makes up a
  • Mixed plantings often have fewer pest problems                                                                                                                       recommendations from Jeavons,4 Rodale
                                                                                                         larger proportion of the plants
      than monocultures because pests have a harder                                                                                                                      Institute,6 University of Kentucky
                                                                                                         than the larger crop
      time finding suitable hosts, or because diverse                                                                                                                    Extension,7 or another favorite source                                                                                                                                  Mixture            Snap bean

                                                                                          •    If mixtures use resources more                                     –      2. Choose a primary and secondary crop
                                                                                                                                                                                                                                                                                                                          100                                       (pole)
                                                                                                                                                                                                                                                                                                                                                                    Corn
      plantings provide better habitat for natural                                                                                                                                                                                                                                                                           75
                                                                                               efficiently than monocultures they                                        (spreadsheet limited to two-crop mixtures)
      enemies.2




                                                                                                                                                                                                                                                                                                                        cm
                                                                                                                                                                                                                                                                                                                             50

                                                                                               should not need more space.                                        –      3. Select the number of secondary crop                                                                                                              25
  • Diversity helps reduce risk. Promoting
                                                                                                                                                                         plants per primary crop plant in mix (crop                                                                                                          0

      biodiversity is a stated goal of the USDA's                                                                                                                        ratio)
                                                                                                                                                                                                                                                                                                                                  0         25        50
                                                                                                                                                                                                                                                                                                                                                      cm
                                                                                                                                                                                                                                                                                                                                                                    75       100




      national organic standards.3
                                                                                                                                                      •      Spreadsheet calculates (in metric and US
                                                                                                                                                                                                                                                                                                                   Corn                                                       Snap bean (pole)
                                                                                                                                                                                                                                                                                            100                                                                 100


  Some crops are commonly grown in mixtures:                                                                                                                 measurement units):                                                                                                             75                                                                     75




  • Hay is usually a mix of grass and legume




                                                                                                                                                                                                                                                                                            cm




                                                                                                                                                                                                                                                                                                                                                               cm
                                                                                                                                                                                                                                                                                             50                                                                     50

                                                                                                                                                                  –      Spacing between plants
      species.
                                                                                                                                                                                                                                                                                             25                                                                     25


                                                                                                                                                                  –      Spacing between offset rows                                                                                             0                                                                   0


  • Shade-grown coffee plantations mix low-growing                                                                                                                –      Crop ratio that dedicates an equal amount
                                                                                                                                                                                                                                                                                                     0        25     50
                                                                                                                                                                                                                                                                                                                     cm
                                                                                                                                                                                                                                                                                                                                      75        100                      0      25     50
                                                                                                                                                                                                                                                                                                                                                                                       cm
                                                                                                                                                                                                                                                                                                                                                                                                 75        100




      coffee bushes with trees.                                                                                                                                          of land to each crop                                                                           The spacing calculator spreadsheet
  • Backyard gardeners often mix vegetables, herbs,                                                                                                               –      Planting density for component crops and                                                       generates planting diagrams for
      and flowers in the same bed.                                                                                                                                       mixture                                                                                        mixtures based on pure-stand plant
  Although mixed plantings are common, practical                                                                                                                  –      Much more…                                                                                     spacing for component crops.
      resources for those who grow mixed crops are                                   Two-crop companion planting                                       Download: http://organic.kysu.edu/CompanionSpacing.shtml
      few; production guides and extension materials                                 diagram with dimensions, adapted
      often assume monoculture.                                                      from How to Grow More
                                                                                     Vegetables... Corn plants are
                                                                                     represented by yellow circles; beets
                                                                                     are red. A mixture of 33 corn plants                             ONLINE SPACING                                                                                                              Corn                              Beans                                      Squash
                                                                                     and 80 beet plants requires 60 sq. ft.                            CALCULATOR
  BIOINTENSIVE MINI-FARMING                                                                                                                           •      Requires
                                                                                                                                                                  –      Recommended spacing
  •   How to Grow More Vegetables… by John
                                                                                                                                                                         for pure stand
      Jeavons4 advocates a gardening system
                                                                                                                                                                         (up to four crops)
      called "biointensive mini-farming," which
      consists of:                                                                                                                                                –      Relative proportion of
        –   deeply-cultivated (“double dug”) beds                                                                                                                        crops in mixture
            amended with compost                                                                                                                      •      Delivers
        –   high-density mixed plantings                                                                                                                          –      Between-plant spacing for
        –   offset rows                                                                                                                                                  evenly-spaced mixture
            (every plant is the same distance from its
            six nearest neighbors, creating a beehive                                                                                                             –      Between-clump spacing for                                                                If each hill has 4 corn plants, 4 bean
            pattern of hexagons)                                                                                                                                         clumped mixture                                                                           plants and 1 squash plant then hills
                                                                                                                                                                                                                                                                       should be spaced 37” apart.
                                                                                     The same number of plants grown in two
                                                                                     pure stands would require only 53 sq. ft.                                                                                                                                                                            SF        SF
                                                                                                                                                                                                                                                                                                                                       B
                                                                                                                                                                                                                                                                                                                                                       SF           SF
                                                                                                                                                                                                                                                                                                                                       C
                                                                                     of bed space, leaving 7 sq. ft. for another                                                                                                                                                       SF
                                                                                                                                                                                                                                                                                                 SF                       B C
                                                                                                                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                                                                                                                            C B                              SF
                                                                                                                                                                                                                                                                                                                                                                                     SF

                                                                                     crop                                                                                                                                                                                       SF                                                     B
                                                                                                                                                                                                                                                                                                                                           SQ
                                                                                                                                                                                                                                                                                                                                                                                            SF
                                                                                                                                                                                                                                                                                                                                                                                                      SF
                                                                                                                                                                                                                                                                        SF
                                                                                                                                                                                                                                                                                       B
                                                                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                                                                                                    B
                                                                                                                                                                                                                                                                                                                    C
                                                                                                                                                                                                                                                                                                                                                       B
                                                                                                                                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                                                                                                                                                         37”          B
                                                                                                                                                                                                                                                                                                                                                                                      C                    SF
                                                                                                                                                                                                                                                                                B C         C B           B C             C B                  B C             C B             B C          C B
                                                                                                                                                                                                                                                                   SF                  C                            C                                  C                              C                          SF
                                                                                                                                                                                                                                                                                       B                            B                                  B                              B
                                                                                                                                                                                                                                                                            B         SQ             B             SQ                  B               SQ                B            SQ
                                                                                                                                                                                                                                                                                                                                                                                                 37”
                                                                                                                                                                                                                                                                                                                                                                                                 B
                                                                                                                                                                                                                                                                            C                        C                                 C                                 C                            C
                                                                                                                                                                                                                                                                      B C       C B        B C           C B              B C               C B                B C           C B           B C            C B

                                                                                      A SOLUTION                                                                                                                                                                            C
                                                                                                                                                                                                                                                                            B
                                                                                                                                                                                                                                                                                                     C
                                                                                                                                                                                                                                                                                                     B
                                                                                                                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                                                                                                                       B
                                                                                                                                                                                                                                                                                                                                                                         C
                                                                                                                                                                                                                                                                                                                                                                         B
                                                                                                                                                                                                                                                                                                                                                                                                      C
                                                                                                                                                                                                                                                                                                                                                                                                      B

                                                 For plant spacing in mixtures,       •       An equation5 can be used to
                                                                                                                                                                                                                                                                  B
                                                                                                                                                                                                                                                                  C
                                                                                                                                                                                                                                                                             SQ        B
                                                                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                                                                                         SQ          B
                                                                                                                                                                                                                                                                                                                     C
                                                                                                                                                                                                                                                                                                                                           SQ              B
                                                                                                                                                                                                                                                                                                                                                           C
                                                                                                                                                                                                                                                                                                                                                                             SQ        B
                                                                                                                                                                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                                                                                                                                                                                          SQ          B
                                                                                                                                                                                                                                                                                                                                                                                                                      C
Hexagonal spacing diagram from                   Jeavons uses the mean of his                                                                                                                                                                               B C       C B        B C        C B               B C            C B                 B C           C B              B C         C B                B C        C B
                                                                                              calculate between-plant spacing                                                                                                                                     C                    C                             C                                     C                           C                              C

How to Grow More Vegetables... The               recommended plant spacings for
                                                                                                                                                                                                                                                                  B                    B                             B                                     B                           B                              B

                                                                                              for mixtures (smix) from:                           Example: The Wampanoag people                      SQ
                                                                                                                                                                                                          B
                                                                                                                                                                                                                 SQ
                                                                                                                                                                                                                        B
                                                                                                                                                                                                                              SQ
                                                                                                                                                                                                                                      B
                                                                                                                                                                                                                                             SQ
                                                                                                                                                                                                                                                     B
                                                                                                                                                                                                                                                             SQ
                                                                                                                                                                                                                                                                    B
                                                                                                                                                                                                                                                                                                                                                                                                                      SQ
spacing between plants is equivalent             component crops. For example, he                                                                                                                         C             C             C              C              C
                                                                                                –       The recommended spacing for               traditionally planted circular gardens of corn      B C   C B     B C   C B    B C     C B    B C    C B      B C   C                                                                                                                                          B
within and between rows, forming a               suggests that corn plants in
                                                                                                                                                                                                          C             C             C              C              C
                                                                                                        each component crop in pure               and beans in clusters of four in evenly-spaced          B             B             B              B              B
hexagonal lattice of tightly-spaced              monoculture be spaced 15" apart,                       stands (sA, sB…)
                                                                                                                                                                                                           SQ     B     SQ     B      SQ      B       SQ      B     SQ
                                                                                                                                                  mounds. A squash plant was grown by each                        C            C              C               C
plants.                                          and beet plants 4" apart, so corn                                                                                                                           B C    C B    B C   C B      B C    C B     B C    C B
                                                                                                –       The proportion of the mixture             mound. The online spacing calculator can be used                C            C              C               C
                                                                                                                                                                                                                  B            B              B               B
                                                 and beet planted as a mixture are                      accounted for by each                     to calculate inter-clump spacing for clumped mixtures           SQ            SQ     B      SQ              SQ

                                                 spaced 9.5" ([15+4]/2) apart.                          component crop (pA, pB…).                                                                                                      C
                                                                                                                                                  like this from recommended spacing for pure stands.                             B C
                                                                                                                                                                                                                                       C
                                                                                                                                                                                                                                          C B

                                                                                                                                                                                                                                                                                                                                           B
                                                                                                                    2       2
                                                                                                smix =        p A s A + pB sB + ...              Try it: http://organic.kysu.edu/CompanionSpacingCalculator.shtml
                                                                                      •       Mixtures spaced using this
                                                                                              equation use the same amount of               1.
                                                                                                                                            2.
                                                                                                                                                 P.A. Jolliffe. 1997. Are mixed populations of plant species more productive than pure stands? Oikos 80: 595-602.
                                                                                                                                                 H.A. Smith & R. McSorley. 2000. Intercropping and pest management: A review of major concepts. American Entomologist 40: 154-161.
                                                                                              land as if the component plants               3.
                                                                                                                                            4.
                                                                                                                                                 USDA National Organic Program. 1999. Definitions -- Regulatory Text. http://www.ams.usda.gov/NOP/NOP/standards/DefineReg.html
                                                                                                                                                 J. Jeavons. How to Grow More Vegetables Than You Ever Thought Possible on Less Land Than You Can Imagine. Ten Speed Press,

                                                                                              were divided into pure stands                 5.
                                                                                                                                                 Berkeley CA, 2006.
                                                                                                                                                 M.K. Bomford. 2009. Do tomatoes love basil but hate Brussels sprouts? Competition and land-use efficiency of popularly recommended
                                                                                                                                                 and discouraged crop mixtures in biointensive agriculture systems. Journal of Sustainable Agriculture 33 (4): In press.
                                                                                                                                            6.   F.M. Bradley & B.W. Ellis. Rodale's All-New Encyclopedia of Organic Gardening. Rodale Press, Emmaus PA, 1992.
                                                                                                                                            7.   B. Rowell, R. Bessin, J. Masabni, J. Strang, T. Jones, & K. Seebold. 2006-07 Vegetable Production Guide for Commercial Growers.
                                                                                                                                                 University of Kentucky Cooperative Extension Service, Lexington KY, 2007

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Biointensive Mixed Plantings - Kentucky State University

  • 1. Spacing Calculator for Biointensive Mixed Plantings Michael Bomford, Kentucky State University Organic Agriculture Working Group, http://organic.kysu.edu 400 East Main Street, Frankfort, KY 40601 BACKGROUND THE PROBLEM TOOLS BASED ON MIXTURE SPACING EQUATION Mixed planting, or companion planting, can offer • Mixed plantings spaced according benefits over monocultures: to Jeavons’ recommendations • Mixed crops often have higher yields than require more land than separate SPACING CALCULATOR monocultures because different species use monoculture beds when: SPREADSHEET different resources, making more efficient use of – One crop is much larger than the • Select options from drop-down menus: land.1 other – 1. Use pure stand spacing – The smaller crop makes up a • Mixed plantings often have fewer pest problems recommendations from Jeavons,4 Rodale larger proportion of the plants than monocultures because pests have a harder Institute,6 University of Kentucky than the larger crop time finding suitable hosts, or because diverse Extension,7 or another favorite source Mixture Snap bean • If mixtures use resources more – 2. Choose a primary and secondary crop 100 (pole) Corn plantings provide better habitat for natural 75 efficiently than monocultures they (spreadsheet limited to two-crop mixtures) enemies.2 cm 50 should not need more space. – 3. Select the number of secondary crop 25 • Diversity helps reduce risk. Promoting plants per primary crop plant in mix (crop 0 biodiversity is a stated goal of the USDA's ratio) 0 25 50 cm 75 100 national organic standards.3 • Spreadsheet calculates (in metric and US Corn Snap bean (pole) 100 100 Some crops are commonly grown in mixtures: measurement units): 75 75 • Hay is usually a mix of grass and legume cm cm 50 50 – Spacing between plants species. 25 25 – Spacing between offset rows 0 0 • Shade-grown coffee plantations mix low-growing – Crop ratio that dedicates an equal amount 0 25 50 cm 75 100 0 25 50 cm 75 100 coffee bushes with trees. of land to each crop The spacing calculator spreadsheet • Backyard gardeners often mix vegetables, herbs, – Planting density for component crops and generates planting diagrams for and flowers in the same bed. mixture mixtures based on pure-stand plant Although mixed plantings are common, practical – Much more… spacing for component crops. resources for those who grow mixed crops are Two-crop companion planting Download: http://organic.kysu.edu/CompanionSpacing.shtml few; production guides and extension materials diagram with dimensions, adapted often assume monoculture. from How to Grow More Vegetables... Corn plants are represented by yellow circles; beets are red. A mixture of 33 corn plants ONLINE SPACING Corn Beans Squash and 80 beet plants requires 60 sq. ft. CALCULATOR BIOINTENSIVE MINI-FARMING • Requires – Recommended spacing • How to Grow More Vegetables… by John for pure stand Jeavons4 advocates a gardening system (up to four crops) called "biointensive mini-farming," which consists of: – Relative proportion of – deeply-cultivated (“double dug”) beds crops in mixture amended with compost • Delivers – high-density mixed plantings – Between-plant spacing for – offset rows evenly-spaced mixture (every plant is the same distance from its six nearest neighbors, creating a beehive – Between-clump spacing for If each hill has 4 corn plants, 4 bean pattern of hexagons) clumped mixture plants and 1 squash plant then hills should be spaced 37” apart. The same number of plants grown in two pure stands would require only 53 sq. ft. SF SF B SF SF C of bed space, leaving 7 sq. ft. for another SF SF B C C C B SF SF crop SF B SQ SF SF SF B C B C B C 37” B C SF B C C B B C C B B C C B B C C B SF C C C C SF B B B B B SQ B SQ B SQ B SQ 37” B C C C C C B C C B B C C B B C C B B C C B B C C B A SOLUTION C B C B C B C B C B For plant spacing in mixtures, • An equation5 can be used to B C SQ B C SQ B C SQ B C SQ B C SQ B C Hexagonal spacing diagram from Jeavons uses the mean of his B C C B B C C B B C C B B C C B B C C B B C C B calculate between-plant spacing C C C C C C How to Grow More Vegetables... The recommended plant spacings for B B B B B B for mixtures (smix) from: Example: The Wampanoag people SQ B SQ B SQ B SQ B SQ B SQ spacing between plants is equivalent component crops. For example, he C C C C C – The recommended spacing for traditionally planted circular gardens of corn B C C B B C C B B C C B B C C B B C C B within and between rows, forming a suggests that corn plants in C C C C C each component crop in pure and beans in clusters of four in evenly-spaced B B B B B hexagonal lattice of tightly-spaced monoculture be spaced 15" apart, stands (sA, sB…) SQ B SQ B SQ B SQ B SQ mounds. A squash plant was grown by each C C C C plants. and beet plants 4" apart, so corn B C C B B C C B B C C B B C C B – The proportion of the mixture mound. The online spacing calculator can be used C C C C B B B B and beet planted as a mixture are accounted for by each to calculate inter-clump spacing for clumped mixtures SQ SQ B SQ SQ spaced 9.5" ([15+4]/2) apart. component crop (pA, pB…). C like this from recommended spacing for pure stands. B C C C B B 2 2 smix = p A s A + pB sB + ... Try it: http://organic.kysu.edu/CompanionSpacingCalculator.shtml • Mixtures spaced using this equation use the same amount of 1. 2. P.A. Jolliffe. 1997. Are mixed populations of plant species more productive than pure stands? Oikos 80: 595-602. H.A. Smith & R. McSorley. 2000. Intercropping and pest management: A review of major concepts. American Entomologist 40: 154-161. land as if the component plants 3. 4. USDA National Organic Program. 1999. Definitions -- Regulatory Text. http://www.ams.usda.gov/NOP/NOP/standards/DefineReg.html J. Jeavons. How to Grow More Vegetables Than You Ever Thought Possible on Less Land Than You Can Imagine. Ten Speed Press, were divided into pure stands 5. Berkeley CA, 2006. M.K. Bomford. 2009. Do tomatoes love basil but hate Brussels sprouts? Competition and land-use efficiency of popularly recommended and discouraged crop mixtures in biointensive agriculture systems. Journal of Sustainable Agriculture 33 (4): In press. 6. F.M. Bradley & B.W. Ellis. Rodale's All-New Encyclopedia of Organic Gardening. Rodale Press, Emmaus PA, 1992. 7. B. Rowell, R. Bessin, J. Masabni, J. Strang, T. Jones, & K. Seebold. 2006-07 Vegetable Production Guide for Commercial Growers. University of Kentucky Cooperative Extension Service, Lexington KY, 2007