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<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-05-20</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001469443</issuerCik>
        <issuerName>Arcadia Biosciences, Inc.</issuerName>
        <issuerTradingSymbol>RKDA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001338665</rptOwnerCik>
            <rptOwnerName>BISHOP TERRI C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MORAL COMPASS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>4835 E. EXETER BLVD.</rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isTenPercentOwner>1</isTenPercentOwner>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001213138</rptOwnerCik>
            <rptOwnerName>SPERLING PETER V</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MORAL COMPASS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>4835 E. EXETER BLVD.</rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001641775</rptOwnerCik>
            <rptOwnerName>Moral Compass Corp</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4835 E. EXETER BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001641769</rptOwnerCik>
            <rptOwnerName>John G. Sperling 2012 Irrevocable Trust No. 1</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4835 E. EXETER BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001641770</rptOwnerCik>
            <rptOwnerName>John G. Sperling 2012 Irrevocable Trust No. 2</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4835 E. EXETER BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
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            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001641772</rptOwnerCik>
            <rptOwnerName>John G. Sperling 2012 Irrevocable Trust No. 3</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4835 E. EXETER BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85018</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
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            <securityTitle>
                <value>Common Stock</value>
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            <transactionDate>
                <value>2015-05-20</value>
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            <deemedExecutionDate></deemedExecutionDate>
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            <transactionAmounts>
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            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Moral Compass Corporation</value>
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                    <value>By Moral Compass Corporation</value>
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            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
                    <value>3847751</value>
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                <transactionPricePerShare>
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                    <value>20178916</value>
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                    <value>I</value>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
                    <value>2336448</value>
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                <transactionPricePerShare>
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                    <value>22515364</value>
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                    <value>By Moral Compass Corporation</value>
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                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Series A Convertible Preferred Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2015-05-20</value>
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                <equitySwapInvolved>0</equitySwapInvolved>
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                <value></value>
            </transactionTimeliness>
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                <transactionShares>
                    <value>60681805</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F2"/>
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            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>15170451</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
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                <natureOfOwnership>
                    <value>By Moral Compass Corporation</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Series B Convertible Preferred Stock</value>
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                    <value>15391006</value>
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                <transactionPricePerShare>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3847751</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <natureOfOwnership>
                    <value>By Moral Compass Corporation</value>
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        <derivativeTransaction>
            <securityTitle>
                <value>Series C Convertible Preferred Stock</value>
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                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
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                <value>2015-05-20</value>
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                <transactionCode>C</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <value></value>
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                <transactionShares>
                    <value>9345794</value>
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                <transactionPricePerShare>
                    <value>0.00</value>
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                    <value>D</value>
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            <exerciseDate>
                <footnoteId id="F4"/>
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            <expirationDate>
                <footnoteId id="F4"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2336448</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>0</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
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    <footnotes>
        <footnote id="F1">Terri Bishop and Peter Sperling both serve as directors of Moral Compass Corporation. Moral Compass Corporation is owned in equal amounts by the John G. Sperling 2012 Irrevocable Trust No. 1, the John G. Sperling 2012 Irrevocable Trust No. 2 and the John G. Sperling 2012 Irrevocable Trust No. 3 (the &quot;Sperling Trusts&quot;). Darby Shupp, a director of the Issuer, Terri Bishop and Peter Sperling together serve as the three trustees of the Sperling Trusts and have shared voting and investment power over the shares held by Moral Compass Corporation. Ms. Shupp's statement of changes in beneficial ownership of securities of the Issuer is reported on a Form 4 filed separately.</footnote>
        <footnote id="F2">The Series A Convertible Preferred Stock converted into the Issuer's Common Stock at a conversion ratio of one share of common stock for every four shares of preferred stock upon the closing of the Issuer's initial public offering of common stock, and had no expiration date.  The conversion ratio reflected an adjustment due to the Issuer's 1-for-4 reverse stock split effected on May 8, 2015.</footnote>
        <footnote id="F3">The Series B Convertible Preferred Stock converted into the Issuer's Common Stock at a conversion ratio of one share of common stock for every four shares of preferred stock upon the closing of the Issuer's initial public offering of common stock, and had no expiration date.  The conversion ratio reflected an adjustment due to the Issuer's 1-for-4 reverse stock split effected on May 8, 2015.</footnote>
        <footnote id="F4">The Series C Convertible Preferred Stock converted into the Issuer's Common Stock at a conversion ratio of one share of common stock for every four shares of preferred stock upon the closing of the Issuer's initial public offering of common stock, and had no expiration date.  The conversion ratio reflected an adjustment due to the Issuer's 1-for-4 reverse stock split effected on May 8, 2015.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Philip Peters, as Attorney-in-Fact for Terri Bishop</signatureName>
        <signatureDate>2015-05-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Philip Peters, as Attorney-in-Fact for Peter Sperling</signatureName>
        <signatureDate>2015-05-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Philip Peters, as Attorney-in-Fact for Moral Compass Corporation</signatureName>
        <signatureDate>2015-05-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Philip Peters, as Attorney-in-Fact for John G. Sperling 2012 Irrevocable Trust No. 1</signatureName>
        <signatureDate>2015-05-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Philip Peters, as Attorney-in-Fact for John G. Sperling 2012 Irrevocable Trust No. 2</signatureName>
        <signatureDate>2015-05-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Philip Peters, as Attorney-in-Fact for John G. Sperling 2012 Irrevocable Trust No. 3</signatureName>
        <signatureDate>2015-05-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
